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Finding the Fourth Proportional to 2,172.91, 3,259.34 and 529.46

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Solution

The fourth proportional to 2,172.91, 3,259.34 and 529.46 is: 794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.91 : 3,259.34 = 529.46 : x
  2. Step 2: Convert to fraction form
    2,172.91/3,259.34 = 529.46/x
  3. Step 3: Cross multiply
    2,172.91x = 3,259.34 × 529.46
  4. Step 4: Simplify right side
    2,172.91x = 1,725,690.16
  5. Step 5: Solve for x
    x = 1,725,690.16/2,172.91
  6. Step 6: Final answer
    x = 794.18

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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.