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Finding the Fourth Proportional to 10,372.80, 15,526.80 and 7,456.80

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Solution

The fourth proportional to 10,372.80, 15,526.80 and 7,456.80 is: 11,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.80 : 15,526.80 = 7,456.80 : x
  2. Step 2: Convert to fraction form
    10,372.80/15,526.80 = 7,456.80/x
  3. Step 3: Cross multiply
    10,372.80x = 15,526.80 × 7,456.80
  4. Step 4: Simplify right side
    10,372.80x = 115,780,242.24
  5. Step 5: Solve for x
    x = 115,780,242.24/10,372.80
  6. Step 6: Final answer
    x = 11,161.91

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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.