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Finding the Fourth Proportional to 14,551.50, 20,080.12 and 8,581.80

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Solution

The fourth proportional to 14,551.50, 20,080.12 and 8,581.80 is: 11,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.50 : 20,080.12 = 8,581.80 : x
  2. Step 2: Convert to fraction form
    14,551.50/20,080.12 = 8,581.80/x
  3. Step 3: Cross multiply
    14,551.50x = 20,080.12 × 8,581.80
  4. Step 4: Simplify right side
    14,551.50x = 172,323,573.82
  5. Step 5: Solve for x
    x = 172,323,573.82/14,551.50
  6. Step 6: Final answer
    x = 11,842.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.