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Finding the Fourth Proportional to 2,891.40, 3,990.15 and 1,565.11

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Solution

The fourth proportional to 2,891.40, 3,990.15 and 1,565.11 is: 2,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.40 : 3,990.15 = 1,565.11 : x
  2. Step 2: Convert to fraction form
    2,891.40/3,990.15 = 1,565.11/x
  3. Step 3: Cross multiply
    2,891.40x = 3,990.15 × 1,565.11
  4. Step 4: Simplify right side
    2,891.40x = 6,245,023.67
  5. Step 5: Solve for x
    x = 6,245,023.67/2,891.40
  6. Step 6: Final answer
    x = 2,159.86

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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.