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Finding the Fourth Proportional to 3,152.70, 4,728.80 and 961.44

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Solution

The fourth proportional to 3,152.70, 4,728.80 and 961.44 is: 1,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.70 : 4,728.80 = 961.44 : x
  2. Step 2: Convert to fraction form
    3,152.70/4,728.80 = 961.44/x
  3. Step 3: Cross multiply
    3,152.70x = 4,728.80 × 961.44
  4. Step 4: Simplify right side
    3,152.70x = 4,546,457.47
  5. Step 5: Solve for x
    x = 4,546,457.47/3,152.70
  6. Step 6: Final answer
    x = 1,442.08

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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.