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Finding the Fourth Proportional to 2,181.12, 3,272.16 and 642.24

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Solution

The fourth proportional to 2,181.12, 3,272.16 and 642.24 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.12 : 3,272.16 = 642.24 : x
  2. Step 2: Convert to fraction form
    2,181.12/3,272.16 = 642.24/x
  3. Step 3: Cross multiply
    2,181.12x = 3,272.16 × 642.24
  4. Step 4: Simplify right side
    2,181.12x = 2,101,512.04
  5. Step 5: Solve for x
    x = 2,101,512.04/2,181.12
  6. Step 6: Final answer
    x = 963.50

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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.