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Finding the Fourth Proportional to 6,697.81, 9,242.88 and 3,713.65

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Solution

The fourth proportional to 6,697.81, 9,242.88 and 3,713.65 is: 5,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.81 : 9,242.88 = 3,713.65 : x
  2. Step 2: Convert to fraction form
    6,697.81/9,242.88 = 3,713.65/x
  3. Step 3: Cross multiply
    6,697.81x = 9,242.88 × 3,713.65
  4. Step 4: Simplify right side
    6,697.81x = 34,324,821.31
  5. Step 5: Solve for x
    x = 34,324,821.31/6,697.81
  6. Step 6: Final answer
    x = 5,124.78

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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.