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Finding the Fourth Proportional to 3,315.90, 4,576.02 and 1,823.90

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Solution

The fourth proportional to 3,315.90, 4,576.02 and 1,823.90 is: 2,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.90 : 4,576.02 = 1,823.90 : x
  2. Step 2: Convert to fraction form
    3,315.90/4,576.02 = 1,823.90/x
  3. Step 3: Cross multiply
    3,315.90x = 4,576.02 × 1,823.90
  4. Step 4: Simplify right side
    3,315.90x = 8,346,202.88
  5. Step 5: Solve for x
    x = 8,346,202.88/3,315.90
  6. Step 6: Final answer
    x = 2,517.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.