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Finding the Fourth Proportional to 7,191.28, 9,923.97 and 4,047.47

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Solution

The fourth proportional to 7,191.28, 9,923.97 and 4,047.47 is: 5,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.28 : 9,923.97 = 4,047.47 : x
  2. Step 2: Convert to fraction form
    7,191.28/9,923.97 = 4,047.47/x
  3. Step 3: Cross multiply
    7,191.28x = 9,923.97 × 4,047.47
  4. Step 4: Simplify right side
    7,191.28x = 40,166,950.86
  5. Step 5: Solve for x
    x = 40,166,950.86/7,191.28
  6. Step 6: Final answer
    x = 5,585.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.