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Finding the Fourth Proportional to 1,402.28, 1,935.06 and 781.32

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Solution

The fourth proportional to 1,402.28, 1,935.06 and 781.32 is: 1,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.28 : 1,935.06 = 781.32 : x
  2. Step 2: Convert to fraction form
    1,402.28/1,935.06 = 781.32/x
  3. Step 3: Cross multiply
    1,402.28x = 1,935.06 × 781.32
  4. Step 4: Simplify right side
    1,402.28x = 1,511,901.08
  5. Step 5: Solve for x
    x = 1,511,901.08/1,402.28
  6. Step 6: Final answer
    x = 1,078.17

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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.