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Finding the Fourth Proportional to 8,116.10, 12,174.15 and 5,200.10

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Solution

The fourth proportional to 8,116.10, 12,174.15 and 5,200.10 is: 7,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.10 : 12,174.15 = 5,200.10 : x
  2. Step 2: Convert to fraction form
    8,116.10/12,174.15 = 5,200.10/x
  3. Step 3: Cross multiply
    8,116.10x = 12,174.15 × 5,200.10
  4. Step 4: Simplify right side
    8,116.10x = 63,306,797.42
  5. Step 5: Solve for x
    x = 63,306,797.42/8,116.10
  6. Step 6: Final answer
    x = 7,800.15

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.