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Finding the Fourth Proportional to 2,172.75, 3,259.14 and 529.31

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Solution

The fourth proportional to 2,172.75, 3,259.14 and 529.31 is: 793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.75 : 3,259.14 = 529.31 : x
  2. Step 2: Convert to fraction form
    2,172.75/3,259.14 = 529.31/x
  3. Step 3: Cross multiply
    2,172.75x = 3,259.14 × 529.31
  4. Step 4: Simplify right side
    2,172.75x = 1,725,079.10
  5. Step 5: Solve for x
    x = 1,725,079.10/2,172.75
  6. Step 6: Final answer
    x = 793.96

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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.