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Finding the Fourth Proportional to 3,851.56, 5,779.50 and 1,543.24

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Solution

The fourth proportional to 3,851.56, 5,779.50 and 1,543.24 is: 2,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.56 : 5,779.50 = 1,543.24 : x
  2. Step 2: Convert to fraction form
    3,851.56/5,779.50 = 1,543.24/x
  3. Step 3: Cross multiply
    3,851.56x = 5,779.50 × 1,543.24
  4. Step 4: Simplify right side
    3,851.56x = 8,919,155.58
  5. Step 5: Solve for x
    x = 8,919,155.58/3,851.56
  6. Step 6: Final answer
    x = 2,315.73

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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.