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Finding the Fourth Proportional to 23,309.72, 34,972.68 and 7,728.56

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Solution

The fourth proportional to 23,309.72, 34,972.68 and 7,728.56 is: 11,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.72 : 34,972.68 = 7,728.56 : x
  2. Step 2: Convert to fraction form
    23,309.72/34,972.68 = 7,728.56/x
  3. Step 3: Cross multiply
    23,309.72x = 34,972.68 × 7,728.56
  4. Step 4: Simplify right side
    23,309.72x = 270,288,455.74
  5. Step 5: Solve for x
    x = 270,288,455.74/23,309.72
  6. Step 6: Final answer
    x = 11,595.53

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1.5x scale

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.