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Finding the Fourth Proportional to 3,103.76, 4,659.96 and 1,565.84

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Solution

The fourth proportional to 3,103.76, 4,659.96 and 1,565.84 is: 2,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.76 : 4,659.96 = 1,565.84 : x
  2. Step 2: Convert to fraction form
    3,103.76/4,659.96 = 1,565.84/x
  3. Step 3: Cross multiply
    3,103.76x = 4,659.96 × 1,565.84
  4. Step 4: Simplify right side
    3,103.76x = 7,296,751.77
  5. Step 5: Solve for x
    x = 7,296,751.77/3,103.76
  6. Step 6: Final answer
    x = 2,350.94

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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.