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Finding the Fourth Proportional to 9,844.80, 14,734.80 and 7,641.60

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Solution

The fourth proportional to 9,844.80, 14,734.80 and 7,641.60 is: 11,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.80 : 14,734.80 = 7,641.60 : x
  2. Step 2: Convert to fraction form
    9,844.80/14,734.80 = 7,641.60/x
  3. Step 3: Cross multiply
    9,844.80x = 14,734.80 × 7,641.60
  4. Step 4: Simplify right side
    9,844.80x = 112,597,447.68
  5. Step 5: Solve for x
    x = 112,597,447.68/9,844.80
  6. Step 6: Final answer
    x = 11,437.25

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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.