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Finding the Fourth Proportional to 1,402.35, 2,103.24 and 852.57

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Solution

The fourth proportional to 1,402.35, 2,103.24 and 852.57 is: 1,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.35 : 2,103.24 = 852.57 : x
  2. Step 2: Convert to fraction form
    1,402.35/2,103.24 = 852.57/x
  3. Step 3: Cross multiply
    1,402.35x = 2,103.24 × 852.57
  4. Step 4: Simplify right side
    1,402.35x = 1,793,159.33
  5. Step 5: Solve for x
    x = 1,793,159.33/1,402.35
  6. Step 6: Final answer
    x = 1,278.68

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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.