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Finding the Fourth Proportional to 8,454.76, 12,678.30 and 2,906.56

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Solution

The fourth proportional to 8,454.76, 12,678.30 and 2,906.56 is: 4,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.76 : 12,678.30 = 2,906.56 : x
  2. Step 2: Convert to fraction form
    8,454.76/12,678.30 = 2,906.56/x
  3. Step 3: Cross multiply
    8,454.76x = 12,678.30 × 2,906.56
  4. Step 4: Simplify right side
    8,454.76x = 36,850,239.65
  5. Step 5: Solve for x
    x = 36,850,239.65/8,454.76
  6. Step 6: Final answer
    x = 4,358.52

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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.