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Finding the Fourth Proportional to 10,522.55, 15,788.48 and 8,179.05

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Solution

The fourth proportional to 10,522.55, 15,788.48 and 8,179.05 is: 12,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.55 : 15,788.48 = 8,179.05 : x
  2. Step 2: Convert to fraction form
    10,522.55/15,788.48 = 8,179.05/x
  3. Step 3: Cross multiply
    10,522.55x = 15,788.48 × 8,179.05
  4. Step 4: Simplify right side
    10,522.55x = 129,134,785.66
  5. Step 5: Solve for x
    x = 129,134,785.66/10,522.55
  6. Step 6: Final answer
    x = 12,272.19

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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.