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Finding the Fourth Proportional to 5,578, 7,697.10 and 3,220.90

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Solution

The fourth proportional to 5,578, 7,697.10 and 3,220.90 is: 4,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578 : 7,697.10 = 3,220.90 : x
  2. Step 2: Convert to fraction form
    5,578/7,697.10 = 3,220.90/x
  3. Step 3: Cross multiply
    5,578x = 7,697.10 × 3,220.90
  4. Step 4: Simplify right side
    5,578x = 24,791,589.39
  5. Step 5: Solve for x
    x = 24,791,589.39/5,578
  6. Step 6: Final answer
    x = 4,444.53

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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.