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Finding the Fourth Proportional to 10,126, 15,195.75 and 3,891.16

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Solution

The fourth proportional to 10,126, 15,195.75 and 3,891.16 is: 5,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 15,195.75 = 3,891.16 : x
  2. Step 2: Convert to fraction form
    10,126/15,195.75 = 3,891.16/x
  3. Step 3: Cross multiply
    10,126x = 15,195.75 × 3,891.16
  4. Step 4: Simplify right side
    10,126x = 59,129,094.57
  5. Step 5: Solve for x
    x = 59,129,094.57/10,126
  6. Step 6: Final answer
    x = 5,839.33

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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.