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Finding the Fourth Proportional to 2,092.89, 3,139.64 and 632.17

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Solution

The fourth proportional to 2,092.89, 3,139.64 and 632.17 is: 948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.89 : 3,139.64 = 632.17 : x
  2. Step 2: Convert to fraction form
    2,092.89/3,139.64 = 632.17/x
  3. Step 3: Cross multiply
    2,092.89x = 3,139.64 × 632.17
  4. Step 4: Simplify right side
    2,092.89x = 1,984,786.22
  5. Step 5: Solve for x
    x = 1,984,786.22/2,092.89
  6. Step 6: Final answer
    x = 948.35

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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.