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Finding the Fourth Proportional to 2,282.79, 3,150.16 and 1,288

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Solution

The fourth proportional to 2,282.79, 3,150.16 and 1,288 is: 1,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.79 : 3,150.16 = 1,288 : x
  2. Step 2: Convert to fraction form
    2,282.79/3,150.16 = 1,288/x
  3. Step 3: Cross multiply
    2,282.79x = 3,150.16 × 1,288
  4. Step 4: Simplify right side
    2,282.79x = 4,057,406.08
  5. Step 5: Solve for x
    x = 4,057,406.08/2,282.79
  6. Step 6: Final answer
    x = 1,777.39

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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.