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Finding the Fourth Proportional to 6,811.50, 9,391.23 and 5,040.12

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Solution

The fourth proportional to 6,811.50, 9,391.23 and 5,040.12 is: 6,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.50 : 9,391.23 = 5,040.12 : x
  2. Step 2: Convert to fraction form
    6,811.50/9,391.23 = 5,040.12/x
  3. Step 3: Cross multiply
    6,811.50x = 9,391.23 × 5,040.12
  4. Step 4: Simplify right side
    6,811.50x = 47,332,926.15
  5. Step 5: Solve for x
    x = 47,332,926.15/6,811.50
  6. Step 6: Final answer
    x = 6,948.97

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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.