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Finding the Fourth Proportional to 1,822, 2,732.35 and 726.07

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Solution

The fourth proportional to 1,822, 2,732.35 and 726.07 is: 1,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822 : 2,732.35 = 726.07 : x
  2. Step 2: Convert to fraction form
    1,822/2,732.35 = 726.07/x
  3. Step 3: Cross multiply
    1,822x = 2,732.35 × 726.07
  4. Step 4: Simplify right side
    1,822x = 1,983,877.36
  5. Step 5: Solve for x
    x = 1,983,877.36/1,822
  6. Step 6: Final answer
    x = 1,088.85

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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.