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Finding the Fourth Proportional to 2,172.88, 3,259.80 and 634

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Solution

The fourth proportional to 2,172.88, 3,259.80 and 634 is: 951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.88 : 3,259.80 = 634 : x
  2. Step 2: Convert to fraction form
    2,172.88/3,259.80 = 634/x
  3. Step 3: Cross multiply
    2,172.88x = 3,259.80 × 634
  4. Step 4: Simplify right side
    2,172.88x = 2,066,713.20
  5. Step 5: Solve for x
    x = 2,066,713.20/2,172.88
  6. Step 6: Final answer
    x = 951.14

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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.