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Finding the Fourth Proportional to 10,822.80, 16,201.80 and 9,656.40

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Solution

The fourth proportional to 10,822.80, 16,201.80 and 9,656.40 is: 14,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.80 : 16,201.80 = 9,656.40 : x
  2. Step 2: Convert to fraction form
    10,822.80/16,201.80 = 9,656.40/x
  3. Step 3: Cross multiply
    10,822.80x = 16,201.80 × 9,656.40
  4. Step 4: Simplify right side
    10,822.80x = 156,451,061.52
  5. Step 5: Solve for x
    x = 156,451,061.52/10,822.80
  6. Step 6: Final answer
    x = 14,455.69

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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.