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Finding the Fourth Proportional to 10,221.60, 15,310.80 and 8,277.60

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Solution

The fourth proportional to 10,221.60, 15,310.80 and 8,277.60 is: 12,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.60 : 15,310.80 = 8,277.60 : x
  2. Step 2: Convert to fraction form
    10,221.60/15,310.80 = 8,277.60/x
  3. Step 3: Cross multiply
    10,221.60x = 15,310.80 × 8,277.60
  4. Step 4: Simplify right side
    10,221.60x = 126,736,678.08
  5. Step 5: Solve for x
    x = 126,736,678.08/10,221.60
  6. Step 6: Final answer
    x = 12,398.91

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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.