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Finding the Fourth Proportional to 8,494.78, 12,741.90 and 2,947.60

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Solution

The fourth proportional to 8,494.78, 12,741.90 and 2,947.60 is: 4,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.78 : 12,741.90 = 2,947.60 : x
  2. Step 2: Convert to fraction form
    8,494.78/12,741.90 = 2,947.60/x
  3. Step 3: Cross multiply
    8,494.78x = 12,741.90 × 2,947.60
  4. Step 4: Simplify right side
    8,494.78x = 37,558,024.44
  5. Step 5: Solve for x
    x = 37,558,024.44/8,494.78
  6. Step 6: Final answer
    x = 4,421.31

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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.