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Finding the Fourth Proportional to 2,739.65, 4,109.11 and 1,565.84

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Solution

The fourth proportional to 2,739.65, 4,109.11 and 1,565.84 is: 2,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.65 : 4,109.11 = 1,565.84 : x
  2. Step 2: Convert to fraction form
    2,739.65/4,109.11 = 1,565.84/x
  3. Step 3: Cross multiply
    2,739.65x = 4,109.11 × 1,565.84
  4. Step 4: Simplify right side
    2,739.65x = 6,434,208.80
  5. Step 5: Solve for x
    x = 6,434,208.80/2,739.65
  6. Step 6: Final answer
    x = 2,348.55

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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.