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Finding the Fourth Proportional to 9,689.85, 13,381.37 and 8,351.01

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Solution

The fourth proportional to 9,689.85, 13,381.37 and 8,351.01 is: 11,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.85 : 13,381.37 = 8,351.01 : x
  2. Step 2: Convert to fraction form
    9,689.85/13,381.37 = 8,351.01/x
  3. Step 3: Cross multiply
    9,689.85x = 13,381.37 × 8,351.01
  4. Step 4: Simplify right side
    9,689.85x = 111,747,954.68
  5. Step 5: Solve for x
    x = 111,747,954.68/9,689.85
  6. Step 6: Final answer
    x = 11,532.48

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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.