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Finding the Fourth Proportional to 1,402.52, 2,104.65 and 786.62

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Solution

The fourth proportional to 1,402.52, 2,104.65 and 786.62 is: 1,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.52 : 2,104.65 = 786.62 : x
  2. Step 2: Convert to fraction form
    1,402.52/2,104.65 = 786.62/x
  3. Step 3: Cross multiply
    1,402.52x = 2,104.65 × 786.62
  4. Step 4: Simplify right side
    1,402.52x = 1,655,565.04
  5. Step 5: Solve for x
    x = 1,655,565.04/1,402.52
  6. Step 6: Final answer
    x = 1,180.43

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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.