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Finding the Fourth Proportional to 5,677.32, 7,828.24 and 3,998.20

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Solution

The fourth proportional to 5,677.32, 7,828.24 and 3,998.20 is: 5,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.32 : 7,828.24 = 3,998.20 : x
  2. Step 2: Convert to fraction form
    5,677.32/7,828.24 = 3,998.20/x
  3. Step 3: Cross multiply
    5,677.32x = 7,828.24 × 3,998.20
  4. Step 4: Simplify right side
    5,677.32x = 31,298,869.17
  5. Step 5: Solve for x
    x = 31,298,869.17/5,677.32
  6. Step 6: Final answer
    x = 5,512.97

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Half scale
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Double scale
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Similar ratio
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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.