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Finding the Fourth Proportional to 15,902.75, 21,945.80 and 9,278.75

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Solution

The fourth proportional to 15,902.75, 21,945.80 and 9,278.75 is: 12,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.75 : 21,945.80 = 9,278.75 : x
  2. Step 2: Convert to fraction form
    15,902.75/21,945.80 = 9,278.75/x
  3. Step 3: Cross multiply
    15,902.75x = 21,945.80 × 9,278.75
  4. Step 4: Simplify right side
    15,902.75x = 203,629,591.75
  5. Step 5: Solve for x
    x = 203,629,591.75/15,902.75
  6. Step 6: Final answer
    x = 12,804.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.