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Finding the Fourth Proportional to 3,901.52, 5,382.10 and 2,642.64

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Solution

The fourth proportional to 3,901.52, 5,382.10 and 2,642.64 is: 3,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.52 : 5,382.10 = 2,642.64 : x
  2. Step 2: Convert to fraction form
    3,901.52/5,382.10 = 2,642.64/x
  3. Step 3: Cross multiply
    3,901.52x = 5,382.10 × 2,642.64
  4. Step 4: Simplify right side
    3,901.52x = 14,222,952.74
  5. Step 5: Solve for x
    x = 14,222,952.74/3,901.52
  6. Step 6: Final answer
    x = 3,645.49

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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.