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Finding the Fourth Proportional to 2,171.52, 3,257.80 and 632.52

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Solution

The fourth proportional to 2,171.52, 3,257.80 and 632.52 is: 948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.52 : 3,257.80 = 632.52 : x
  2. Step 2: Convert to fraction form
    2,171.52/3,257.80 = 632.52/x
  3. Step 3: Cross multiply
    2,171.52x = 3,257.80 × 632.52
  4. Step 4: Simplify right side
    2,171.52x = 2,060,623.66
  5. Step 5: Solve for x
    x = 2,060,623.66/2,171.52
  6. Step 6: Final answer
    x = 948.93

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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.