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Finding the Fourth Proportional to 2,113.63, 3,171.09 and 632.90

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Solution

The fourth proportional to 2,113.63, 3,171.09 and 632.90 is: 949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.63 : 3,171.09 = 632.90 : x
  2. Step 2: Convert to fraction form
    2,113.63/3,171.09 = 632.90/x
  3. Step 3: Cross multiply
    2,113.63x = 3,171.09 × 632.90
  4. Step 4: Simplify right side
    2,113.63x = 2,006,989.21
  5. Step 5: Solve for x
    x = 2,006,989.21/2,113.63
  6. Step 6: Final answer
    x = 949.55

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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.