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Finding the Fourth Proportional to 2,086.75, 3,130.26 and 547.75

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Solution

The fourth proportional to 2,086.75, 3,130.26 and 547.75 is: 821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.75 : 3,130.26 = 547.75 : x
  2. Step 2: Convert to fraction form
    2,086.75/3,130.26 = 547.75/x
  3. Step 3: Cross multiply
    2,086.75x = 3,130.26 × 547.75
  4. Step 4: Simplify right side
    2,086.75x = 1,714,599.92
  5. Step 5: Solve for x
    x = 1,714,599.92/2,086.75
  6. Step 6: Final answer
    x = 821.66

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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.