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Finding the Fourth Proportional to 9,708.57, 13,397.81 and 5,516.82

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Solution

The fourth proportional to 9,708.57, 13,397.81 and 5,516.82 is: 7,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.57 : 13,397.81 = 5,516.82 : x
  2. Step 2: Convert to fraction form
    9,708.57/13,397.81 = 5,516.82/x
  3. Step 3: Cross multiply
    9,708.57x = 13,397.81 × 5,516.82
  4. Step 4: Simplify right side
    9,708.57x = 73,913,278.58
  5. Step 5: Solve for x
    x = 73,913,278.58/9,708.57
  6. Step 6: Final answer
    x = 7,613.20

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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.