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Finding the Fourth Proportional to 2,871.39, 4,306.29 and 790.89

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Solution

The fourth proportional to 2,871.39, 4,306.29 and 790.89 is: 1,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.39 : 4,306.29 = 790.89 : x
  2. Step 2: Convert to fraction form
    2,871.39/4,306.29 = 790.89/x
  3. Step 3: Cross multiply
    2,871.39x = 4,306.29 × 790.89
  4. Step 4: Simplify right side
    2,871.39x = 3,405,801.70
  5. Step 5: Solve for x
    x = 3,405,801.70/2,871.39
  6. Step 6: Final answer
    x = 1,186.12

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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.