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Finding the Fourth Proportional to 11,000.80, 16,517.40 and 8,538.40

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Solution

The fourth proportional to 11,000.80, 16,517.40 and 8,538.40 is: 12,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.80 : 16,517.40 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    11,000.80/16,517.40 = 8,538.40/x
  3. Step 3: Cross multiply
    11,000.80x = 16,517.40 × 8,538.40
  4. Step 4: Simplify right side
    11,000.80x = 141,032,168.16
  5. Step 5: Solve for x
    x = 141,032,168.16/11,000.80
  6. Step 6: Final answer
    x = 12,820.17

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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.