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Finding the Fourth Proportional to 1,809.14, 2,713.90 and 576.11

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Solution

The fourth proportional to 1,809.14, 2,713.90 and 576.11 is: 864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.14 : 2,713.90 = 576.11 : x
  2. Step 2: Convert to fraction form
    1,809.14/2,713.90 = 576.11/x
  3. Step 3: Cross multiply
    1,809.14x = 2,713.90 × 576.11
  4. Step 4: Simplify right side
    1,809.14x = 1,563,510.27
  5. Step 5: Solve for x
    x = 1,563,510.27/1,809.14
  6. Step 6: Final answer
    x = 864.23

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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.