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Finding the Fourth Proportional to 10,193.42, 15,294.51 and 5,516.70

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Solution

The fourth proportional to 10,193.42, 15,294.51 and 5,516.70 is: 8,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.42 : 15,294.51 = 5,516.70 : x
  2. Step 2: Convert to fraction form
    10,193.42/15,294.51 = 5,516.70/x
  3. Step 3: Cross multiply
    10,193.42x = 15,294.51 × 5,516.70
  4. Step 4: Simplify right side
    10,193.42x = 84,375,223.32
  5. Step 5: Solve for x
    x = 84,375,223.32/10,193.42
  6. Step 6: Final answer
    x = 8,277.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.