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Finding the Fourth Proportional to 3,565.86, 4,919.90 and 2,447.06

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Solution

The fourth proportional to 3,565.86, 4,919.90 and 2,447.06 is: 3,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.86 : 4,919.90 = 2,447.06 : x
  2. Step 2: Convert to fraction form
    3,565.86/4,919.90 = 2,447.06/x
  3. Step 3: Cross multiply
    3,565.86x = 4,919.90 × 2,447.06
  4. Step 4: Simplify right side
    3,565.86x = 12,039,290.49
  5. Step 5: Solve for x
    x = 12,039,290.49/3,565.86
  6. Step 6: Final answer
    x = 3,376.27

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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.