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Finding the Fourth Proportional to 5,243.68, 7,863 and 2,779.66

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Solution

The fourth proportional to 5,243.68, 7,863 and 2,779.66 is: 4,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.68 : 7,863 = 2,779.66 : x
  2. Step 2: Convert to fraction form
    5,243.68/7,863 = 2,779.66/x
  3. Step 3: Cross multiply
    5,243.68x = 7,863 × 2,779.66
  4. Step 4: Simplify right side
    5,243.68x = 21,856,466.58
  5. Step 5: Solve for x
    x = 21,856,466.58/5,243.68
  6. Step 6: Final answer
    x = 4,168.15

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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.