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Finding the Fourth Proportional to 5,164, 7,737.28 and 2,240.80

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Solution

The fourth proportional to 5,164, 7,737.28 and 2,240.80 is: 3,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 7,737.28 = 2,240.80 : x
  2. Step 2: Convert to fraction form
    5,164/7,737.28 = 2,240.80/x
  3. Step 3: Cross multiply
    5,164x = 7,737.28 × 2,240.80
  4. Step 4: Simplify right side
    5,164x = 17,337,697.02
  5. Step 5: Solve for x
    x = 17,337,697.02/5,164
  6. Step 6: Final answer
    x = 3,357.42

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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.