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Finding the Fourth Proportional to 2,169.42, 3,254.40 and 852.90

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Solution

The fourth proportional to 2,169.42, 3,254.40 and 852.90 is: 1,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.42 : 3,254.40 = 852.90 : x
  2. Step 2: Convert to fraction form
    2,169.42/3,254.40 = 852.90/x
  3. Step 3: Cross multiply
    2,169.42x = 3,254.40 × 852.90
  4. Step 4: Simplify right side
    2,169.42x = 2,775,677.76
  5. Step 5: Solve for x
    x = 2,775,677.76/2,169.42
  6. Step 6: Final answer
    x = 1,279.46

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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.