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Finding the Fourth Proportional to 3,152.60, 4,728.31 and 960.74

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Solution

The fourth proportional to 3,152.60, 4,728.31 and 960.74 is: 1,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.60 : 4,728.31 = 960.74 : x
  2. Step 2: Convert to fraction form
    3,152.60/4,728.31 = 960.74/x
  3. Step 3: Cross multiply
    3,152.60x = 4,728.31 × 960.74
  4. Step 4: Simplify right side
    3,152.60x = 4,542,676.55
  5. Step 5: Solve for x
    x = 4,542,676.55/3,152.60
  6. Step 6: Final answer
    x = 1,440.93

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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.