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Finding the Fourth Proportional to 9,685.85, 13,372.87 and 7,443.65

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Solution

The fourth proportional to 9,685.85, 13,372.87 and 7,443.65 is: 10,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.85 : 13,372.87 = 7,443.65 : x
  2. Step 2: Convert to fraction form
    9,685.85/13,372.87 = 7,443.65/x
  3. Step 3: Cross multiply
    9,685.85x = 13,372.87 × 7,443.65
  4. Step 4: Simplify right side
    9,685.85x = 99,542,926.56
  5. Step 5: Solve for x
    x = 99,542,926.56/9,685.85
  6. Step 6: Final answer
    x = 10,277.15

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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.