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Finding the Fourth Proportional to 19,691.67, 29,543.48 and 7,039.77

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Solution

The fourth proportional to 19,691.67, 29,543.48 and 7,039.77 is: 10,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.67 : 29,543.48 = 7,039.77 : x
  2. Step 2: Convert to fraction form
    19,691.67/29,543.48 = 7,039.77/x
  3. Step 3: Cross multiply
    19,691.67x = 29,543.48 × 7,039.77
  4. Step 4: Simplify right side
    19,691.67x = 207,979,269.00
  5. Step 5: Solve for x
    x = 207,979,269.00/19,691.67
  6. Step 6: Final answer
    x = 10,561.79

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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.