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Finding the Fourth Proportional to 5,319.20, 7,981.20 and 2,544.80

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Solution

The fourth proportional to 5,319.20, 7,981.20 and 2,544.80 is: 3,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.20 : 7,981.20 = 2,544.80 : x
  2. Step 2: Convert to fraction form
    5,319.20/7,981.20 = 2,544.80/x
  3. Step 3: Cross multiply
    5,319.20x = 7,981.20 × 2,544.80
  4. Step 4: Simplify right side
    5,319.20x = 20,310,557.76
  5. Step 5: Solve for x
    x = 20,310,557.76/5,319.20
  6. Step 6: Final answer
    x = 3,818.35

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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.