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Finding the Fourth Proportional to 1,429.20, 1,972 and 839.32

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Solution

The fourth proportional to 1,429.20, 1,972 and 839.32 is: 1,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.20 : 1,972 = 839.32 : x
  2. Step 2: Convert to fraction form
    1,429.20/1,972 = 839.32/x
  3. Step 3: Cross multiply
    1,429.20x = 1,972 × 839.32
  4. Step 4: Simplify right side
    1,429.20x = 1,655,139.04
  5. Step 5: Solve for x
    x = 1,655,139.04/1,429.20
  6. Step 6: Final answer
    x = 1,158.09

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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.