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Finding the Fourth Proportional to 28,113.92, 42,170.80 and 8,392

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Solution

The fourth proportional to 28,113.92, 42,170.80 and 8,392 is: 12,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,113.92 : 42,170.80 = 8,392 : x
  2. Step 2: Convert to fraction form
    28,113.92/42,170.80 = 8,392/x
  3. Step 3: Cross multiply
    28,113.92x = 42,170.80 × 8,392
  4. Step 4: Simplify right side
    28,113.92x = 353,897,353.60
  5. Step 5: Solve for x
    x = 353,897,353.60/28,113.92
  6. Step 6: Final answer
    x = 12,587.98

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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.