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Finding the Fourth Proportional to 2,172.50, 3,259.29 and 633.50

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Solution

The fourth proportional to 2,172.50, 3,259.29 and 633.50 is: 950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.50 : 3,259.29 = 633.50 : x
  2. Step 2: Convert to fraction form
    2,172.50/3,259.29 = 633.50/x
  3. Step 3: Cross multiply
    2,172.50x = 3,259.29 × 633.50
  4. Step 4: Simplify right side
    2,172.50x = 2,064,760.22
  5. Step 5: Solve for x
    x = 2,064,760.22/2,172.50
  6. Step 6: Final answer
    x = 950.41

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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.