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Finding the Fourth Proportional to 3,152.60, 4,728.82 and 812.56

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Solution

The fourth proportional to 3,152.60, 4,728.82 and 812.56 is: 1,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.60 : 4,728.82 = 812.56 : x
  2. Step 2: Convert to fraction form
    3,152.60/4,728.82 = 812.56/x
  3. Step 3: Cross multiply
    3,152.60x = 4,728.82 × 812.56
  4. Step 4: Simplify right side
    3,152.60x = 3,842,449.98
  5. Step 5: Solve for x
    x = 3,842,449.98/3,152.60
  6. Step 6: Final answer
    x = 1,218.82

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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.