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Finding the Fourth Proportional to 2,186.25, 3,279.35 and 542.79

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Solution

The fourth proportional to 2,186.25, 3,279.35 and 542.79 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.25 : 3,279.35 = 542.79 : x
  2. Step 2: Convert to fraction form
    2,186.25/3,279.35 = 542.79/x
  3. Step 3: Cross multiply
    2,186.25x = 3,279.35 × 542.79
  4. Step 4: Simplify right side
    2,186.25x = 1,779,995.67
  5. Step 5: Solve for x
    x = 1,779,995.67/2,186.25
  6. Step 6: Final answer
    x = 814.18

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1.5x scale

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.