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Finding the Fourth Proportional to 15,153.62, 20,912 and 8,440.54

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Solution

The fourth proportional to 15,153.62, 20,912 and 8,440.54 is: 11,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.62 : 20,912 = 8,440.54 : x
  2. Step 2: Convert to fraction form
    15,153.62/20,912 = 8,440.54/x
  3. Step 3: Cross multiply
    15,153.62x = 20,912 × 8,440.54
  4. Step 4: Simplify right side
    15,153.62x = 176,508,572.48
  5. Step 5: Solve for x
    x = 176,508,572.48/15,153.62
  6. Step 6: Final answer
    x = 11,647.95

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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.