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Finding the Fourth Proportional to 8,947.80, 13,387.08 and 7,791.12

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Solution

The fourth proportional to 8,947.80, 13,387.08 and 7,791.12 is: 11,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.80 : 13,387.08 = 7,791.12 : x
  2. Step 2: Convert to fraction form
    8,947.80/13,387.08 = 7,791.12/x
  3. Step 3: Cross multiply
    8,947.80x = 13,387.08 × 7,791.12
  4. Step 4: Simplify right side
    8,947.80x = 104,300,346.73
  5. Step 5: Solve for x
    x = 104,300,346.73/8,947.80
  6. Step 6: Final answer
    x = 11,656.54

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1.5x scale

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.