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Finding the Fourth Proportional to 2,377.53, 3,565.99 and 990.61

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Solution

The fourth proportional to 2,377.53, 3,565.99 and 990.61 is: 1,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.53 : 3,565.99 = 990.61 : x
  2. Step 2: Convert to fraction form
    2,377.53/3,565.99 = 990.61/x
  3. Step 3: Cross multiply
    2,377.53x = 3,565.99 × 990.61
  4. Step 4: Simplify right side
    2,377.53x = 3,532,497.68
  5. Step 5: Solve for x
    x = 3,532,497.68/2,377.53
  6. Step 6: Final answer
    x = 1,485.78

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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.