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Finding the Fourth Proportional to 15,475.50, 23,213.25 and 8,550

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Solution

The fourth proportional to 15,475.50, 23,213.25 and 8,550 is: 12,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475.50 : 23,213.25 = 8,550 : x
  2. Step 2: Convert to fraction form
    15,475.50/23,213.25 = 8,550/x
  3. Step 3: Cross multiply
    15,475.50x = 23,213.25 × 8,550
  4. Step 4: Simplify right side
    15,475.50x = 198,473,287.50
  5. Step 5: Solve for x
    x = 198,473,287.50/15,475.50
  6. Step 6: Final answer
    x = 12,825

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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.