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Finding the Fourth Proportional to 5,578.61, 8,365.06 and 2,947.53

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Solution

The fourth proportional to 5,578.61, 8,365.06 and 2,947.53 is: 4,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.61 : 8,365.06 = 2,947.53 : x
  2. Step 2: Convert to fraction form
    5,578.61/8,365.06 = 2,947.53/x
  3. Step 3: Cross multiply
    5,578.61x = 8,365.06 × 2,947.53
  4. Step 4: Simplify right side
    5,578.61x = 24,656,250.56
  5. Step 5: Solve for x
    x = 24,656,250.56/5,578.61
  6. Step 6: Final answer
    x = 4,419.78

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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.