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Finding the Fourth Proportional to 1,402.11, 1,935.32 and 937.71

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Solution

The fourth proportional to 1,402.11, 1,935.32 and 937.71 is: 1,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.11 : 1,935.32 = 937.71 : x
  2. Step 2: Convert to fraction form
    1,402.11/1,935.32 = 937.71/x
  3. Step 3: Cross multiply
    1,402.11x = 1,935.32 × 937.71
  4. Step 4: Simplify right side
    1,402.11x = 1,814,768.92
  5. Step 5: Solve for x
    x = 1,814,768.92/1,402.11
  6. Step 6: Final answer
    x = 1,294.31

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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.