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Finding the Fourth Proportional to 2,116.35, 3,174.17 and 576.99

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Solution

The fourth proportional to 2,116.35, 3,174.17 and 576.99 is: 865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.35 : 3,174.17 = 576.99 : x
  2. Step 2: Convert to fraction form
    2,116.35/3,174.17 = 576.99/x
  3. Step 3: Cross multiply
    2,116.35x = 3,174.17 × 576.99
  4. Step 4: Simplify right side
    2,116.35x = 1,831,461.46
  5. Step 5: Solve for x
    x = 1,831,461.46/2,116.35
  6. Step 6: Final answer
    x = 865.39

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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.