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Finding the Fourth Proportional to 2,030.13, 2,801.64 and 1,243.73

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Solution

The fourth proportional to 2,030.13, 2,801.64 and 1,243.73 is: 1,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.13 : 2,801.64 = 1,243.73 : x
  2. Step 2: Convert to fraction form
    2,030.13/2,801.64 = 1,243.73/x
  3. Step 3: Cross multiply
    2,030.13x = 2,801.64 × 1,243.73
  4. Step 4: Simplify right side
    2,030.13x = 3,484,483.72
  5. Step 5: Solve for x
    x = 3,484,483.72/2,030.13
  6. Step 6: Final answer
    x = 1,716.38

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Half scale
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Double scale
Find fourth proportional to 2,031.13, 2,803.02 and 1,244.73
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.