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Finding the Fourth Proportional to 8,276.76, 12,404.30 and 7,114.68

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Solution

The fourth proportional to 8,276.76, 12,404.30 and 7,114.68 is: 10,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.76 : 12,404.30 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    8,276.76/12,404.30 = 7,114.68/x
  3. Step 3: Cross multiply
    8,276.76x = 12,404.30 × 7,114.68
  4. Step 4: Simplify right side
    8,276.76x = 88,252,625.12
  5. Step 5: Solve for x
    x = 88,252,625.12/8,276.76
  6. Step 6: Final answer
    x = 10,662.70

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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.