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Finding the Fourth Proportional to 1,833.38, 2,748.76 and 858.95

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Solution

The fourth proportional to 1,833.38, 2,748.76 and 858.95 is: 1,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.38 : 2,748.76 = 858.95 : x
  2. Step 2: Convert to fraction form
    1,833.38/2,748.76 = 858.95/x
  3. Step 3: Cross multiply
    1,833.38x = 2,748.76 × 858.95
  4. Step 4: Simplify right side
    1,833.38x = 2,361,029.36
  5. Step 5: Solve for x
    x = 2,361,029.36/1,833.38
  6. Step 6: Final answer
    x = 1,287.80

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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.