Home / 3,220-4,826.31-1,463.11

Finding the Fourth Proportional to 3,220, 4,826.31 and 1,463.11

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Solution

The fourth proportional to 3,220, 4,826.31 and 1,463.11 is: 2,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 4,826.31 = 1,463.11 : x
  2. Step 2: Convert to fraction form
    3,220/4,826.31 = 1,463.11/x
  3. Step 3: Cross multiply
    3,220x = 4,826.31 × 1,463.11
  4. Step 4: Simplify right side
    3,220x = 7,061,422.42
  5. Step 5: Solve for x
    x = 7,061,422.42/3,220
  6. Step 6: Final answer
    x = 2,192.99

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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.