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Finding the Fourth Proportional to 8,689.62, 11,982.66 and 7,434.83

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Solution

The fourth proportional to 8,689.62, 11,982.66 and 7,434.83 is: 10,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.62 : 11,982.66 = 7,434.83 : x
  2. Step 2: Convert to fraction form
    8,689.62/11,982.66 = 7,434.83/x
  3. Step 3: Cross multiply
    8,689.62x = 11,982.66 × 7,434.83
  4. Step 4: Simplify right side
    8,689.62x = 89,089,040.05
  5. Step 5: Solve for x
    x = 89,089,040.05/8,689.62
  6. Step 6: Final answer
    x = 10,252.35

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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.