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Finding the Fourth Proportional to 8,970.65, 13,451.46 and 2,729.47

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Solution

The fourth proportional to 8,970.65, 13,451.46 and 2,729.47 is: 4,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.65 : 13,451.46 = 2,729.47 : x
  2. Step 2: Convert to fraction form
    8,970.65/13,451.46 = 2,729.47/x
  3. Step 3: Cross multiply
    8,970.65x = 13,451.46 × 2,729.47
  4. Step 4: Simplify right side
    8,970.65x = 36,715,345.56
  5. Step 5: Solve for x
    x = 36,715,345.56/8,970.65
  6. Step 6: Final answer
    x = 4,092.83

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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.