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Finding the Fourth Proportional to 7,125.66, 10,691.57 and 3,838.10

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Solution

The fourth proportional to 7,125.66, 10,691.57 and 3,838.10 is: 5,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.66 : 10,691.57 = 3,838.10 : x
  2. Step 2: Convert to fraction form
    7,125.66/10,691.57 = 3,838.10/x
  3. Step 3: Cross multiply
    7,125.66x = 10,691.57 × 3,838.10
  4. Step 4: Simplify right side
    7,125.66x = 41,035,242.17
  5. Step 5: Solve for x
    x = 41,035,242.17/7,125.66
  6. Step 6: Final answer
    x = 5,758.80

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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.