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Finding the Fourth Proportional to 10,819.84, 16,203.60 and 8,957.20

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Solution

The fourth proportional to 10,819.84, 16,203.60 and 8,957.20 is: 13,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.84 : 16,203.60 = 8,957.20 : x
  2. Step 2: Convert to fraction form
    10,819.84/16,203.60 = 8,957.20/x
  3. Step 3: Cross multiply
    10,819.84x = 16,203.60 × 8,957.20
  4. Step 4: Simplify right side
    10,819.84x = 145,138,885.92
  5. Step 5: Solve for x
    x = 145,138,885.92/10,819.84
  6. Step 6: Final answer
    x = 13,414.14

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1.5x scale

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.