Home / 10,132-13,982.16-6,411.04

Finding the Fourth Proportional to 10,132, 13,982.16 and 6,411.04

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Solution

The fourth proportional to 10,132, 13,982.16 and 6,411.04 is: 8,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132 : 13,982.16 = 6,411.04 : x
  2. Step 2: Convert to fraction form
    10,132/13,982.16 = 6,411.04/x
  3. Step 3: Cross multiply
    10,132x = 13,982.16 × 6,411.04
  4. Step 4: Simplify right side
    10,132x = 89,640,187.05
  5. Step 5: Solve for x
    x = 89,640,187.05/10,132
  6. Step 6: Final answer
    x = 8,847.24

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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.