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Finding the Fourth Proportional to 19,742, 29,613 and 6,591.38

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Solution

The fourth proportional to 19,742, 29,613 and 6,591.38 is: 9,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 29,613 = 6,591.38 : x
  2. Step 2: Convert to fraction form
    19,742/29,613 = 6,591.38/x
  3. Step 3: Cross multiply
    19,742x = 29,613 × 6,591.38
  4. Step 4: Simplify right side
    19,742x = 195,190,535.94
  5. Step 5: Solve for x
    x = 195,190,535.94/19,742
  6. Step 6: Final answer
    x = 9,887.07

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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.