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Finding the Fourth Proportional to 15,757.48, 21,749.02 and 9,793.64

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Solution

The fourth proportional to 15,757.48, 21,749.02 and 9,793.64 is: 13,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.48 : 21,749.02 = 9,793.64 : x
  2. Step 2: Convert to fraction form
    15,757.48/21,749.02 = 9,793.64/x
  3. Step 3: Cross multiply
    15,757.48x = 21,749.02 × 9,793.64
  4. Step 4: Simplify right side
    15,757.48x = 213,002,072.23
  5. Step 5: Solve for x
    x = 213,002,072.23/15,757.48
  6. Step 6: Final answer
    x = 13,517.52

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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.