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Finding the Fourth Proportional to 1,821.83, 2,731.05 and 726.95

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Solution

The fourth proportional to 1,821.83, 2,731.05 and 726.95 is: 1,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.83 : 2,731.05 = 726.95 : x
  2. Step 2: Convert to fraction form
    1,821.83/2,731.05 = 726.95/x
  3. Step 3: Cross multiply
    1,821.83x = 2,731.05 × 726.95
  4. Step 4: Simplify right side
    1,821.83x = 1,985,323.14
  5. Step 5: Solve for x
    x = 1,985,323.14/1,821.83
  6. Step 6: Final answer
    x = 1,089.74

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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.