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Finding the Fourth Proportional to 2,086.62, 3,129.86 and 547.62

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Solution

The fourth proportional to 2,086.62, 3,129.86 and 547.62 is: 821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.62 : 3,129.86 = 547.62 : x
  2. Step 2: Convert to fraction form
    2,086.62/3,129.86 = 547.62/x
  3. Step 3: Cross multiply
    2,086.62x = 3,129.86 × 547.62
  4. Step 4: Simplify right side
    2,086.62x = 1,713,973.93
  5. Step 5: Solve for x
    x = 1,713,973.93/2,086.62
  6. Step 6: Final answer
    x = 821.41

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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.