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Finding the Fourth Proportional to 2,116, 3,174.21 and 577

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Solution

The fourth proportional to 2,116, 3,174.21 and 577 is: 865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,174.21 = 577 : x
  2. Step 2: Convert to fraction form
    2,116/3,174.21 = 577/x
  3. Step 3: Cross multiply
    2,116x = 3,174.21 × 577
  4. Step 4: Simplify right side
    2,116x = 1,831,519.17
  5. Step 5: Solve for x
    x = 1,831,519.17/2,116
  6. Step 6: Final answer
    x = 865.56

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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.