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Finding the Fourth Proportional to 2,172.38, 3,259.05 and 633.50

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Solution

The fourth proportional to 2,172.38, 3,259.05 and 633.50 is: 950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.38 : 3,259.05 = 633.50 : x
  2. Step 2: Convert to fraction form
    2,172.38/3,259.05 = 633.50/x
  3. Step 3: Cross multiply
    2,172.38x = 3,259.05 × 633.50
  4. Step 4: Simplify right side
    2,172.38x = 2,064,608.18
  5. Step 5: Solve for x
    x = 2,064,608.18/2,172.38
  6. Step 6: Final answer
    x = 950.39

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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.