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Finding the Fourth Proportional to 10,541.40, 15,737.25 and 9,375

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Solution

The fourth proportional to 10,541.40, 15,737.25 and 9,375 is: 13,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.40 : 15,737.25 = 9,375 : x
  2. Step 2: Convert to fraction form
    10,541.40/15,737.25 = 9,375/x
  3. Step 3: Cross multiply
    10,541.40x = 15,737.25 × 9,375
  4. Step 4: Simplify right side
    10,541.40x = 147,536,718.75
  5. Step 5: Solve for x
    x = 147,536,718.75/10,541.40
  6. Step 6: Final answer
    x = 13,995.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.