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Finding the Fourth Proportional to 9,140.52, 12,613.20 and 5,161.98

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Solution

The fourth proportional to 9,140.52, 12,613.20 and 5,161.98 is: 7,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.52 : 12,613.20 = 5,161.98 : x
  2. Step 2: Convert to fraction form
    9,140.52/12,613.20 = 5,161.98/x
  3. Step 3: Cross multiply
    9,140.52x = 12,613.20 × 5,161.98
  4. Step 4: Simplify right side
    9,140.52x = 65,109,086.14
  5. Step 5: Solve for x
    x = 65,109,086.14/9,140.52
  6. Step 6: Final answer
    x = 7,123.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.