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Finding the Fourth Proportional to 2,172.83, 3,259.21 and 529.37

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Solution

The fourth proportional to 2,172.83, 3,259.21 and 529.37 is: 794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.83 : 3,259.21 = 529.37 : x
  2. Step 2: Convert to fraction form
    2,172.83/3,259.21 = 529.37/x
  3. Step 3: Cross multiply
    2,172.83x = 3,259.21 × 529.37
  4. Step 4: Simplify right side
    2,172.83x = 1,725,334.82
  5. Step 5: Solve for x
    x = 1,725,334.82/2,172.83
  6. Step 6: Final answer
    x = 794.05

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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.