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Finding the Fourth Proportional to 1,820.81, 2,731.71 and 725.95

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Solution

The fourth proportional to 1,820.81, 2,731.71 and 725.95 is: 1,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.81 : 2,731.71 = 725.95 : x
  2. Step 2: Convert to fraction form
    1,820.81/2,731.71 = 725.95/x
  3. Step 3: Cross multiply
    1,820.81x = 2,731.71 × 725.95
  4. Step 4: Simplify right side
    1,820.81x = 1,983,071.56
  5. Step 5: Solve for x
    x = 1,983,071.56/1,820.81
  6. Step 6: Final answer
    x = 1,089.11

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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.