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Finding the Fourth Proportional to 10,938.80, 16,375.80 and 9,772.40

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Solution

The fourth proportional to 10,938.80, 16,375.80 and 9,772.40 is: 14,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.80 : 16,375.80 = 9,772.40 : x
  2. Step 2: Convert to fraction form
    10,938.80/16,375.80 = 9,772.40/x
  3. Step 3: Cross multiply
    10,938.80x = 16,375.80 × 9,772.40
  4. Step 4: Simplify right side
    10,938.80x = 160,030,867.92
  5. Step 5: Solve for x
    x = 160,030,867.92/10,938.80
  6. Step 6: Final answer
    x = 14,629.65

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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.