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Finding the Fourth Proportional to 14,778.76, 20,394.36 and 8,064.46

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Solution

The fourth proportional to 14,778.76, 20,394.36 and 8,064.46 is: 11,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.76 : 20,394.36 = 8,064.46 : x
  2. Step 2: Convert to fraction form
    14,778.76/20,394.36 = 8,064.46/x
  3. Step 3: Cross multiply
    14,778.76x = 20,394.36 × 8,064.46
  4. Step 4: Simplify right side
    14,778.76x = 164,469,500.45
  5. Step 5: Solve for x
    x = 164,469,500.45/14,778.76
  6. Step 6: Final answer
    x = 11,128.78

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Half scale
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Double scale
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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.