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Finding the Fourth Proportional to 2,972.42, 4,458.29 and 781.31

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Solution

The fourth proportional to 2,972.42, 4,458.29 and 781.31 is: 1,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.42 : 4,458.29 = 781.31 : x
  2. Step 2: Convert to fraction form
    2,972.42/4,458.29 = 781.31/x
  3. Step 3: Cross multiply
    2,972.42x = 4,458.29 × 781.31
  4. Step 4: Simplify right side
    2,972.42x = 3,483,322.16
  5. Step 5: Solve for x
    x = 3,483,322.16/2,972.42
  6. Step 6: Final answer
    x = 1,171.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.