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Finding the Fourth Proportional to 2,171.52, 2,996.52 and 1,287.36

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Solution

The fourth proportional to 2,171.52, 2,996.52 and 1,287.36 is: 1,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.52 : 2,996.52 = 1,287.36 : x
  2. Step 2: Convert to fraction form
    2,171.52/2,996.52 = 1,287.36/x
  3. Step 3: Cross multiply
    2,171.52x = 2,996.52 × 1,287.36
  4. Step 4: Simplify right side
    2,171.52x = 3,857,599.99
  5. Step 5: Solve for x
    x = 3,857,599.99/2,171.52
  6. Step 6: Final answer
    x = 1,776.45

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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.