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Finding the Fourth Proportional to 8,666.12, 13,000.80 and 2,744.50

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Solution

The fourth proportional to 8,666.12, 13,000.80 and 2,744.50 is: 4,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.12 : 13,000.80 = 2,744.50 : x
  2. Step 2: Convert to fraction form
    8,666.12/13,000.80 = 2,744.50/x
  3. Step 3: Cross multiply
    8,666.12x = 13,000.80 × 2,744.50
  4. Step 4: Simplify right side
    8,666.12x = 35,680,695.60
  5. Step 5: Solve for x
    x = 35,680,695.60/8,666.12
  6. Step 6: Final answer
    x = 4,117.26

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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.