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Finding the Fourth Proportional to 1,908.28, 2,859.66 and 933.28

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Solution

The fourth proportional to 1,908.28, 2,859.66 and 933.28 is: 1,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.28 : 2,859.66 = 933.28 : x
  2. Step 2: Convert to fraction form
    1,908.28/2,859.66 = 933.28/x
  3. Step 3: Cross multiply
    1,908.28x = 2,859.66 × 933.28
  4. Step 4: Simplify right side
    1,908.28x = 2,668,863.48
  5. Step 5: Solve for x
    x = 2,668,863.48/1,908.28
  6. Step 6: Final answer
    x = 1,398.57

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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.