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Finding the Fourth Proportional to 6,508.78, 9,779.20 and 4,169.79

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Solution

The fourth proportional to 6,508.78, 9,779.20 and 4,169.79 is: 6,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.78 : 9,779.20 = 4,169.79 : x
  2. Step 2: Convert to fraction form
    6,508.78/9,779.20 = 4,169.79/x
  3. Step 3: Cross multiply
    6,508.78x = 9,779.20 × 4,169.79
  4. Step 4: Simplify right side
    6,508.78x = 40,777,199.94
  5. Step 5: Solve for x
    x = 40,777,199.94/6,508.78
  6. Step 6: Final answer
    x = 6,264.96

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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.