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Finding the Fourth Proportional to 9,189.96, 13,780.98 and 2,947.91

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Solution

The fourth proportional to 9,189.96, 13,780.98 and 2,947.91 is: 4,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.96 : 13,780.98 = 2,947.91 : x
  2. Step 2: Convert to fraction form
    9,189.96/13,780.98 = 2,947.91/x
  3. Step 3: Cross multiply
    9,189.96x = 13,780.98 × 2,947.91
  4. Step 4: Simplify right side
    9,189.96x = 40,625,019.85
  5. Step 5: Solve for x
    x = 40,625,019.85/9,189.96
  6. Step 6: Final answer
    x = 4,420.59

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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.