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Finding the Fourth Proportional to 9,199.80, 13,793.76 and 3,938.24

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Solution

The fourth proportional to 9,199.80, 13,793.76 and 3,938.24 is: 5,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.80 : 13,793.76 = 3,938.24 : x
  2. Step 2: Convert to fraction form
    9,199.80/13,793.76 = 3,938.24/x
  3. Step 3: Cross multiply
    9,199.80x = 13,793.76 × 3,938.24
  4. Step 4: Simplify right side
    9,199.80x = 54,323,137.38
  5. Step 5: Solve for x
    x = 54,323,137.38/9,199.80
  6. Step 6: Final answer
    x = 5,904.82

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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.