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Finding the Fourth Proportional to 3,179.92, 4,770.32 and 988.24

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Solution

The fourth proportional to 3,179.92, 4,770.32 and 988.24 is: 1,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.92 : 4,770.32 = 988.24 : x
  2. Step 2: Convert to fraction form
    3,179.92/4,770.32 = 988.24/x
  3. Step 3: Cross multiply
    3,179.92x = 4,770.32 × 988.24
  4. Step 4: Simplify right side
    3,179.92x = 4,714,221.04
  5. Step 5: Solve for x
    x = 4,714,221.04/3,179.92
  6. Step 6: Final answer
    x = 1,482.50

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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.