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Finding the Fourth Proportional to 1,282, 1,767.54 and 949.87

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Solution

The fourth proportional to 1,282, 1,767.54 and 949.87 is: 1,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282 : 1,767.54 = 949.87 : x
  2. Step 2: Convert to fraction form
    1,282/1,767.54 = 949.87/x
  3. Step 3: Cross multiply
    1,282x = 1,767.54 × 949.87
  4. Step 4: Simplify right side
    1,282x = 1,678,933.22
  5. Step 5: Solve for x
    x = 1,678,933.22/1,282
  6. Step 6: Final answer
    x = 1,309.62

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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.