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Finding the Fourth Proportional to 8,312.76, 11,437.20 and 6,311.70

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Solution

The fourth proportional to 8,312.76, 11,437.20 and 6,311.70 is: 8,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.76 : 11,437.20 = 6,311.70 : x
  2. Step 2: Convert to fraction form
    8,312.76/11,437.20 = 6,311.70/x
  3. Step 3: Cross multiply
    8,312.76x = 11,437.20 × 6,311.70
  4. Step 4: Simplify right side
    8,312.76x = 72,188,175.24
  5. Step 5: Solve for x
    x = 72,188,175.24/8,312.76
  6. Step 6: Final answer
    x = 8,684.02

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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.