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Finding the Fourth Proportional to 8,490.65, 12,731.11 and 3,290.45

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Solution

The fourth proportional to 8,490.65, 12,731.11 and 3,290.45 is: 4,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.65 : 12,731.11 = 3,290.45 : x
  2. Step 2: Convert to fraction form
    8,490.65/12,731.11 = 3,290.45/x
  3. Step 3: Cross multiply
    8,490.65x = 12,731.11 × 3,290.45
  4. Step 4: Simplify right side
    8,490.65x = 41,891,009.02
  5. Step 5: Solve for x
    x = 41,891,009.02/8,490.65
  6. Step 6: Final answer
    x = 4,933.78

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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.