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Finding the Fourth Proportional to 8,947.10, 13,420.65 and 3,104.30

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Solution

The fourth proportional to 8,947.10, 13,420.65 and 3,104.30 is: 4,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.10 : 13,420.65 = 3,104.30 : x
  2. Step 2: Convert to fraction form
    8,947.10/13,420.65 = 3,104.30/x
  3. Step 3: Cross multiply
    8,947.10x = 13,420.65 × 3,104.30
  4. Step 4: Simplify right side
    8,947.10x = 41,661,723.80
  5. Step 5: Solve for x
    x = 41,661,723.80/8,947.10
  6. Step 6: Final answer
    x = 4,656.45

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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.