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Finding the Fourth Proportional to 2,891.89, 3,990.78 and 1,565.58

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Solution

The fourth proportional to 2,891.89, 3,990.78 and 1,565.58 is: 2,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.89 : 3,990.78 = 1,565.58 : x
  2. Step 2: Convert to fraction form
    2,891.89/3,990.78 = 1,565.58/x
  3. Step 3: Cross multiply
    2,891.89x = 3,990.78 × 1,565.58
  4. Step 4: Simplify right side
    2,891.89x = 6,247,885.35
  5. Step 5: Solve for x
    x = 6,247,885.35/2,891.89
  6. Step 6: Final answer
    x = 2,160.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.