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Finding the Fourth Proportional to 2,171.25, 3,257.43 and 632.25

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Solution

The fourth proportional to 2,171.25, 3,257.43 and 632.25 is: 948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.25 : 3,257.43 = 632.25 : x
  2. Step 2: Convert to fraction form
    2,171.25/3,257.43 = 632.25/x
  3. Step 3: Cross multiply
    2,171.25x = 3,257.43 × 632.25
  4. Step 4: Simplify right side
    2,171.25x = 2,059,510.12
  5. Step 5: Solve for x
    x = 2,059,510.12/2,171.25
  6. Step 6: Final answer
    x = 948.54

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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.