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Finding the Fourth Proportional to 9,850.80, 14,743.80 and 7,647.60

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Solution

The fourth proportional to 9,850.80, 14,743.80 and 7,647.60 is: 11,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.80 : 14,743.80 = 7,647.60 : x
  2. Step 2: Convert to fraction form
    9,850.80/14,743.80 = 7,647.60/x
  3. Step 3: Cross multiply
    9,850.80x = 14,743.80 × 7,647.60
  4. Step 4: Simplify right side
    9,850.80x = 112,754,684.88
  5. Step 5: Solve for x
    x = 112,754,684.88/9,850.80
  6. Step 6: Final answer
    x = 11,446.25

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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.