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Finding the Fourth Proportional to 10,121, 15,181.50 and 3,545.70

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Solution

The fourth proportional to 10,121, 15,181.50 and 3,545.70 is: 5,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121 : 15,181.50 = 3,545.70 : x
  2. Step 2: Convert to fraction form
    10,121/15,181.50 = 3,545.70/x
  3. Step 3: Cross multiply
    10,121x = 15,181.50 × 3,545.70
  4. Step 4: Simplify right side
    10,121x = 53,829,044.55
  5. Step 5: Solve for x
    x = 53,829,044.55/10,121
  6. Step 6: Final answer
    x = 5,318.55

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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.