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Finding the Fourth Proportional to 2,186.40, 3,279.51 and 542.91

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Solution

The fourth proportional to 2,186.40, 3,279.51 and 542.91 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.40 : 3,279.51 = 542.91 : x
  2. Step 2: Convert to fraction form
    2,186.40/3,279.51 = 542.91/x
  3. Step 3: Cross multiply
    2,186.40x = 3,279.51 × 542.91
  4. Step 4: Simplify right side
    2,186.40x = 1,780,478.77
  5. Step 5: Solve for x
    x = 1,780,478.77/2,186.40
  6. Step 6: Final answer
    x = 814.34

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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.