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Finding the Fourth Proportional to 2,171.63, 3,257.45 and 632.63

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Solution

The fourth proportional to 2,171.63, 3,257.45 and 632.63 is: 948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.63 : 3,257.45 = 632.63 : x
  2. Step 2: Convert to fraction form
    2,171.63/3,257.45 = 632.63/x
  3. Step 3: Cross multiply
    2,171.63x = 3,257.45 × 632.63
  4. Step 4: Simplify right side
    2,171.63x = 2,060,741.14
  5. Step 5: Solve for x
    x = 2,060,741.14/2,171.63
  6. Step 6: Final answer
    x = 948.94

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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.