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Finding the Fourth Proportional to 8,524.79, 12,787.22 and 2,978.12

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Solution

The fourth proportional to 8,524.79, 12,787.22 and 2,978.12 is: 4,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.79 : 12,787.22 = 2,978.12 : x
  2. Step 2: Convert to fraction form
    8,524.79/12,787.22 = 2,978.12/x
  3. Step 3: Cross multiply
    8,524.79x = 12,787.22 × 2,978.12
  4. Step 4: Simplify right side
    8,524.79x = 38,081,819.14
  5. Step 5: Solve for x
    x = 38,081,819.14/8,524.79
  6. Step 6: Final answer
    x = 4,467.18

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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.