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Finding the Fourth Proportional to 6,919.20, 10,378.80 and 2,539.80

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Solution

The fourth proportional to 6,919.20, 10,378.80 and 2,539.80 is: 3,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.20 : 10,378.80 = 2,539.80 : x
  2. Step 2: Convert to fraction form
    6,919.20/10,378.80 = 2,539.80/x
  3. Step 3: Cross multiply
    6,919.20x = 10,378.80 × 2,539.80
  4. Step 4: Simplify right side
    6,919.20x = 26,360,076.24
  5. Step 5: Solve for x
    x = 26,360,076.24/6,919.20
  6. Step 6: Final answer
    x = 3,809.70

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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.