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Finding the Fourth Proportional to 6,123.47, 8,447.95 and 3,998.32

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Solution

The fourth proportional to 6,123.47, 8,447.95 and 3,998.32 is: 5,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.47 : 8,447.95 = 3,998.32 : x
  2. Step 2: Convert to fraction form
    6,123.47/8,447.95 = 3,998.32/x
  3. Step 3: Cross multiply
    6,123.47x = 8,447.95 × 3,998.32
  4. Step 4: Simplify right side
    6,123.47x = 33,777,591.32
  5. Step 5: Solve for x
    x = 33,777,591.32/6,123.47
  6. Step 6: Final answer
    x = 5,516.09

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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.