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Finding the Fourth Proportional to 3,479.62, 5,219.62 and 2,565.94

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Solution

The fourth proportional to 3,479.62, 5,219.62 and 2,565.94 is: 3,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.62 : 5,219.62 = 2,565.94 : x
  2. Step 2: Convert to fraction form
    3,479.62/5,219.62 = 2,565.94/x
  3. Step 3: Cross multiply
    3,479.62x = 5,219.62 × 2,565.94
  4. Step 4: Simplify right side
    3,479.62x = 13,393,231.74
  5. Step 5: Solve for x
    x = 13,393,231.74/3,479.62
  6. Step 6: Final answer
    x = 3,849.05

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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.