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Finding the Fourth Proportional to 8,970.87, 13,456.99 and 2,731.42

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Solution

The fourth proportional to 8,970.87, 13,456.99 and 2,731.42 is: 4,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.87 : 13,456.99 = 2,731.42 : x
  2. Step 2: Convert to fraction form
    8,970.87/13,456.99 = 2,731.42/x
  3. Step 3: Cross multiply
    8,970.87x = 13,456.99 × 2,731.42
  4. Step 4: Simplify right side
    8,970.87x = 36,756,711.86
  5. Step 5: Solve for x
    x = 36,756,711.86/8,970.87
  6. Step 6: Final answer
    x = 4,097.34

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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.