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Finding the Fourth Proportional to 8,207.70, 12,311.55 and 7,574.10

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Solution

The fourth proportional to 8,207.70, 12,311.55 and 7,574.10 is: 11,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.70 : 12,311.55 = 7,574.10 : x
  2. Step 2: Convert to fraction form
    8,207.70/12,311.55 = 7,574.10/x
  3. Step 3: Cross multiply
    8,207.70x = 12,311.55 × 7,574.10
  4. Step 4: Simplify right side
    8,207.70x = 93,248,910.86
  5. Step 5: Solve for x
    x = 93,248,910.86/8,207.70
  6. Step 6: Final answer
    x = 11,361.15

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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.