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Finding the Fourth Proportional to 1,429.71, 1,972.63 and 840.13

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Solution

The fourth proportional to 1,429.71, 1,972.63 and 840.13 is: 1,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.71 : 1,972.63 = 840.13 : x
  2. Step 2: Convert to fraction form
    1,429.71/1,972.63 = 840.13/x
  3. Step 3: Cross multiply
    1,429.71x = 1,972.63 × 840.13
  4. Step 4: Simplify right side
    1,429.71x = 1,657,265.64
  5. Step 5: Solve for x
    x = 1,657,265.64/1,429.71
  6. Step 6: Final answer
    x = 1,159.16

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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.