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Finding the Fourth Proportional to 28,101.50, 42,154.68 and 7,325

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Solution

The fourth proportional to 28,101.50, 42,154.68 and 7,325 is: 10,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.50 : 42,154.68 = 7,325 : x
  2. Step 2: Convert to fraction form
    28,101.50/42,154.68 = 7,325/x
  3. Step 3: Cross multiply
    28,101.50x = 42,154.68 × 7,325
  4. Step 4: Simplify right side
    28,101.50x = 308,783,031
  5. Step 5: Solve for x
    x = 308,783,031/28,101.50
  6. Step 6: Final answer
    x = 10,988.13

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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.