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Finding the Fourth Proportional to 12,154.77, 16,772.06 and 6,775.88

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Solution

The fourth proportional to 12,154.77, 16,772.06 and 6,775.88 is: 9,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.77 : 16,772.06 = 6,775.88 : x
  2. Step 2: Convert to fraction form
    12,154.77/16,772.06 = 6,775.88/x
  3. Step 3: Cross multiply
    12,154.77x = 16,772.06 × 6,775.88
  4. Step 4: Simplify right side
    12,154.77x = 113,645,524.78
  5. Step 5: Solve for x
    x = 113,645,524.78/12,154.77
  6. Step 6: Final answer
    x = 9,349.87

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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.