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Finding the Fourth Proportional to 6,278.40, 9,427.20 and 4,819.20

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Solution

The fourth proportional to 6,278.40, 9,427.20 and 4,819.20 is: 7,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.40 : 9,427.20 = 4,819.20 : x
  2. Step 2: Convert to fraction form
    6,278.40/9,427.20 = 4,819.20/x
  3. Step 3: Cross multiply
    6,278.40x = 9,427.20 × 4,819.20
  4. Step 4: Simplify right side
    6,278.40x = 45,431,562.24
  5. Step 5: Solve for x
    x = 45,431,562.24/6,278.40
  6. Step 6: Final answer
    x = 7,236.17

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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.