Home / 1,820.23-2,731.10-587.97

Finding the Fourth Proportional to 1,820.23, 2,731.10 and 587.97

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Solution

The fourth proportional to 1,820.23, 2,731.10 and 587.97 is: 882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.23 : 2,731.10 = 587.97 : x
  2. Step 2: Convert to fraction form
    1,820.23/2,731.10 = 587.97/x
  3. Step 3: Cross multiply
    1,820.23x = 2,731.10 × 587.97
  4. Step 4: Simplify right side
    1,820.23x = 1,605,801.93
  5. Step 5: Solve for x
    x = 1,605,801.93/1,820.23
  6. Step 6: Final answer
    x = 882.20

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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.