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Finding the Fourth Proportional to 2,130.97, 3,196.52 and 814.31

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Solution

The fourth proportional to 2,130.97, 3,196.52 and 814.31 is: 1,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.97 : 3,196.52 = 814.31 : x
  2. Step 2: Convert to fraction form
    2,130.97/3,196.52 = 814.31/x
  3. Step 3: Cross multiply
    2,130.97x = 3,196.52 × 814.31
  4. Step 4: Simplify right side
    2,130.97x = 2,602,958.20
  5. Step 5: Solve for x
    x = 2,602,958.20/2,130.97
  6. Step 6: Final answer
    x = 1,221.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,131.97, 3,198.02 and 815.31
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.