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Finding the Fourth Proportional to 5,885.78, 8,115 and 4,311.14

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Solution

The fourth proportional to 5,885.78, 8,115 and 4,311.14 is: 5,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.78 : 8,115 = 4,311.14 : x
  2. Step 2: Convert to fraction form
    5,885.78/8,115 = 4,311.14/x
  3. Step 3: Cross multiply
    5,885.78x = 8,115 × 4,311.14
  4. Step 4: Simplify right side
    5,885.78x = 34,984,901.10
  5. Step 5: Solve for x
    x = 34,984,901.10/5,885.78
  6. Step 6: Final answer
    x = 5,943.97

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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.