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Finding the Fourth Proportional to 22,500.64, 33,751.86 and 8,459.20

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Solution

The fourth proportional to 22,500.64, 33,751.86 and 8,459.20 is: 12,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500.64 : 33,751.86 = 8,459.20 : x
  2. Step 2: Convert to fraction form
    22,500.64/33,751.86 = 8,459.20/x
  3. Step 3: Cross multiply
    22,500.64x = 33,751.86 × 8,459.20
  4. Step 4: Simplify right side
    22,500.64x = 285,513,734.11
  5. Step 5: Solve for x
    x = 285,513,734.11/22,500.64
  6. Step 6: Final answer
    x = 12,689.14

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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.