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Finding the Fourth Proportional to 2,565.35, 3,847.78 and 716.32

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Solution

The fourth proportional to 2,565.35, 3,847.78 and 716.32 is: 1,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.35 : 3,847.78 = 716.32 : x
  2. Step 2: Convert to fraction form
    2,565.35/3,847.78 = 716.32/x
  3. Step 3: Cross multiply
    2,565.35x = 3,847.78 × 716.32
  4. Step 4: Simplify right side
    2,565.35x = 2,756,241.77
  5. Step 5: Solve for x
    x = 2,756,241.77/2,565.35
  6. Step 6: Final answer
    x = 1,074.41

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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.