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Finding the Fourth Proportional to 1,214.12, 1,821.23 and 726.09

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Solution

The fourth proportional to 1,214.12, 1,821.23 and 726.09 is: 1,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.12 : 1,821.23 = 726.09 : x
  2. Step 2: Convert to fraction form
    1,214.12/1,821.23 = 726.09/x
  3. Step 3: Cross multiply
    1,214.12x = 1,821.23 × 726.09
  4. Step 4: Simplify right side
    1,214.12x = 1,322,373.26
  5. Step 5: Solve for x
    x = 1,322,373.26/1,214.12
  6. Step 6: Final answer
    x = 1,089.17

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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.