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Finding the Fourth Proportional to 9,834.80, 14,719.80 and 7,631.60

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Solution

The fourth proportional to 9,834.80, 14,719.80 and 7,631.60 is: 11,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.80 : 14,719.80 = 7,631.60 : x
  2. Step 2: Convert to fraction form
    9,834.80/14,719.80 = 7,631.60/x
  3. Step 3: Cross multiply
    9,834.80x = 14,719.80 × 7,631.60
  4. Step 4: Simplify right side
    9,834.80x = 112,335,625.68
  5. Step 5: Solve for x
    x = 112,335,625.68/9,834.80
  6. Step 6: Final answer
    x = 11,422.26

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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.