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Finding the Fourth Proportional to 2,281.79, 3,148.79 and 1,287

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Solution

The fourth proportional to 2,281.79, 3,148.79 and 1,287 is: 1,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.79 : 3,148.79 = 1,287 : x
  2. Step 2: Convert to fraction form
    2,281.79/3,148.79 = 1,287/x
  3. Step 3: Cross multiply
    2,281.79x = 3,148.79 × 1,287
  4. Step 4: Simplify right side
    2,281.79x = 4,052,486.30
  5. Step 5: Solve for x
    x = 4,052,486.30/2,281.79
  6. Step 6: Final answer
    x = 1,776.02

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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.