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Finding the Fourth Proportional to 2,109.17, 3,163.76 and 549.17

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Solution

The fourth proportional to 2,109.17, 3,163.76 and 549.17 is: 823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.17 : 3,163.76 = 549.17 : x
  2. Step 2: Convert to fraction form
    2,109.17/3,163.76 = 549.17/x
  3. Step 3: Cross multiply
    2,109.17x = 3,163.76 × 549.17
  4. Step 4: Simplify right side
    2,109.17x = 1,737,438.15
  5. Step 5: Solve for x
    x = 1,737,438.15/2,109.17
  6. Step 6: Final answer
    x = 823.75

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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.