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Finding the Fourth Proportional to 2,116, 3,174.30 and 655.17

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Solution

The fourth proportional to 2,116, 3,174.30 and 655.17 is: 982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,174.30 = 655.17 : x
  2. Step 2: Convert to fraction form
    2,116/3,174.30 = 655.17/x
  3. Step 3: Cross multiply
    2,116x = 3,174.30 × 655.17
  4. Step 4: Simplify right side
    2,116x = 2,079,706.13
  5. Step 5: Solve for x
    x = 2,079,706.13/2,116
  6. Step 6: Final answer
    x = 982.85

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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.