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Finding the Fourth Proportional to 6,471.18, 8,930.79 and 3,819.42

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Solution

The fourth proportional to 6,471.18, 8,930.79 and 3,819.42 is: 5,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.18 : 8,930.79 = 3,819.42 : x
  2. Step 2: Convert to fraction form
    6,471.18/8,930.79 = 3,819.42/x
  3. Step 3: Cross multiply
    6,471.18x = 8,930.79 × 3,819.42
  4. Step 4: Simplify right side
    6,471.18x = 34,110,437.94
  5. Step 5: Solve for x
    x = 34,110,437.94/6,471.18
  6. Step 6: Final answer
    x = 5,271.13

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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.