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Finding the Fourth Proportional to 1,866.27, 2,800.38 and 826.99

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Solution

The fourth proportional to 1,866.27, 2,800.38 and 826.99 is: 1,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.27 : 2,800.38 = 826.99 : x
  2. Step 2: Convert to fraction form
    1,866.27/2,800.38 = 826.99/x
  3. Step 3: Cross multiply
    1,866.27x = 2,800.38 × 826.99
  4. Step 4: Simplify right side
    1,866.27x = 2,315,886.26
  5. Step 5: Solve for x
    x = 2,315,886.26/1,866.27
  6. Step 6: Final answer
    x = 1,240.92

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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.