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Finding the Fourth Proportional to 10,902.88, 15,041.52 and 7,592.80

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Solution

The fourth proportional to 10,902.88, 15,041.52 and 7,592.80 is: 10,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.88 : 15,041.52 = 7,592.80 : x
  2. Step 2: Convert to fraction form
    10,902.88/15,041.52 = 7,592.80/x
  3. Step 3: Cross multiply
    10,902.88x = 15,041.52 × 7,592.80
  4. Step 4: Simplify right side
    10,902.88x = 114,207,253.06
  5. Step 5: Solve for x
    x = 114,207,253.06/10,902.88
  6. Step 6: Final answer
    x = 10,474.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.