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Finding the Fourth Proportional to 3,152.37, 4,728.49 and 812.35

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Solution

The fourth proportional to 3,152.37, 4,728.49 and 812.35 is: 1,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.37 : 4,728.49 = 812.35 : x
  2. Step 2: Convert to fraction form
    3,152.37/4,728.49 = 812.35/x
  3. Step 3: Cross multiply
    3,152.37x = 4,728.49 × 812.35
  4. Step 4: Simplify right side
    3,152.37x = 3,841,188.85
  5. Step 5: Solve for x
    x = 3,841,188.85/3,152.37
  6. Step 6: Final answer
    x = 1,218.51

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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.