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Finding the Fourth Proportional to 7,296.50, 10,040 and 7,092.38

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Solution

The fourth proportional to 7,296.50, 10,040 and 7,092.38 is: 9,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.50 : 10,040 = 7,092.38 : x
  2. Step 2: Convert to fraction form
    7,296.50/10,040 = 7,092.38/x
  3. Step 3: Cross multiply
    7,296.50x = 10,040 × 7,092.38
  4. Step 4: Simplify right side
    7,296.50x = 71,207,495.20
  5. Step 5: Solve for x
    x = 71,207,495.20/7,296.50
  6. Step 6: Final answer
    x = 9,759.13

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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.