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Finding the Fourth Proportional to 10,989.46, 16,452 and 6,816.88

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Solution

The fourth proportional to 10,989.46, 16,452 and 6,816.88 is: 10,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.46 : 16,452 = 6,816.88 : x
  2. Step 2: Convert to fraction form
    10,989.46/16,452 = 6,816.88/x
  3. Step 3: Cross multiply
    10,989.46x = 16,452 × 6,816.88
  4. Step 4: Simplify right side
    10,989.46x = 112,151,309.76
  5. Step 5: Solve for x
    x = 112,151,309.76/10,989.46
  6. Step 6: Final answer
    x = 10,205.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.