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Finding the Fourth Proportional to 8,741.64, 13,100.78 and 3,189.77

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Solution

The fourth proportional to 8,741.64, 13,100.78 and 3,189.77 is: 4,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.64 : 13,100.78 = 3,189.77 : x
  2. Step 2: Convert to fraction form
    8,741.64/13,100.78 = 3,189.77/x
  3. Step 3: Cross multiply
    8,741.64x = 13,100.78 × 3,189.77
  4. Step 4: Simplify right side
    8,741.64x = 41,788,475.02
  5. Step 5: Solve for x
    x = 41,788,475.02/8,741.64
  6. Step 6: Final answer
    x = 4,780.39

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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.