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Finding the Fourth Proportional to 8,779.86, 13,172.09 and 3,158.10

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Solution

The fourth proportional to 8,779.86, 13,172.09 and 3,158.10 is: 4,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,779.86 : 13,172.09 = 3,158.10 : x
  2. Step 2: Convert to fraction form
    8,779.86/13,172.09 = 3,158.10/x
  3. Step 3: Cross multiply
    8,779.86x = 13,172.09 × 3,158.10
  4. Step 4: Simplify right side
    8,779.86x = 41,598,761.64
  5. Step 5: Solve for x
    x = 41,598,761.64/8,779.86
  6. Step 6: Final answer
    x = 4,737.98

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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.