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Finding the Fourth Proportional to 2,660.84, 3,991.28 and 929.48

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Solution

The fourth proportional to 2,660.84, 3,991.28 and 929.48 is: 1,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.84 : 3,991.28 = 929.48 : x
  2. Step 2: Convert to fraction form
    2,660.84/3,991.28 = 929.48/x
  3. Step 3: Cross multiply
    2,660.84x = 3,991.28 × 929.48
  4. Step 4: Simplify right side
    2,660.84x = 3,709,814.93
  5. Step 5: Solve for x
    x = 3,709,814.93/2,660.84
  6. Step 6: Final answer
    x = 1,394.23

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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.