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Finding the Fourth Proportional to 2,891.39, 3,990.10 and 1,565.09

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Solution

The fourth proportional to 2,891.39, 3,990.10 and 1,565.09 is: 2,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.39 : 3,990.10 = 1,565.09 : x
  2. Step 2: Convert to fraction form
    2,891.39/3,990.10 = 1,565.09/x
  3. Step 3: Cross multiply
    2,891.39x = 3,990.10 × 1,565.09
  4. Step 4: Simplify right side
    2,891.39x = 6,244,865.61
  5. Step 5: Solve for x
    x = 6,244,865.61/2,891.39
  6. Step 6: Final answer
    x = 2,159.81

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1.5x scale

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.