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Finding the Fourth Proportional to 9,872.80, 14,791.20 and 7,806.40

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Solution

The fourth proportional to 9,872.80, 14,791.20 and 7,806.40 is: 11,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.80 : 14,791.20 = 7,806.40 : x
  2. Step 2: Convert to fraction form
    9,872.80/14,791.20 = 7,806.40/x
  3. Step 3: Cross multiply
    9,872.80x = 14,791.20 × 7,806.40
  4. Step 4: Simplify right side
    9,872.80x = 115,466,023.68
  5. Step 5: Solve for x
    x = 115,466,023.68/9,872.80
  6. Step 6: Final answer
    x = 11,695.37

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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.