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Finding the Fourth Proportional to 2,281, 3,147.60 and 1,285.96

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Solution

The fourth proportional to 2,281, 3,147.60 and 1,285.96 is: 1,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281 : 3,147.60 = 1,285.96 : x
  2. Step 2: Convert to fraction form
    2,281/3,147.60 = 1,285.96/x
  3. Step 3: Cross multiply
    2,281x = 3,147.60 × 1,285.96
  4. Step 4: Simplify right side
    2,281x = 4,047,687.70
  5. Step 5: Solve for x
    x = 4,047,687.70/2,281
  6. Step 6: Final answer
    x = 1,774.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.