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Finding the Fourth Proportional to 5,781.65, 8,669.91 and 2,660.90

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Solution

The fourth proportional to 5,781.65, 8,669.91 and 2,660.90 is: 3,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.65 : 8,669.91 = 2,660.90 : x
  2. Step 2: Convert to fraction form
    5,781.65/8,669.91 = 2,660.90/x
  3. Step 3: Cross multiply
    5,781.65x = 8,669.91 × 2,660.90
  4. Step 4: Simplify right side
    5,781.65x = 23,069,763.52
  5. Step 5: Solve for x
    x = 23,069,763.52/5,781.65
  6. Step 6: Final answer
    x = 3,990.17

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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.