Home / 3,013.61-4,519.90-821.83

Finding the Fourth Proportional to 3,013.61, 4,519.90 and 821.83

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Solution

The fourth proportional to 3,013.61, 4,519.90 and 821.83 is: 1,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.61 : 4,519.90 = 821.83 : x
  2. Step 2: Convert to fraction form
    3,013.61/4,519.90 = 821.83/x
  3. Step 3: Cross multiply
    3,013.61x = 4,519.90 × 821.83
  4. Step 4: Simplify right side
    3,013.61x = 3,714,576.06
  5. Step 5: Solve for x
    x = 3,714,576.06/3,013.61
  6. Step 6: Final answer
    x = 1,232.60

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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.