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Finding the Fourth Proportional to 2,071.66, 3,107.82 and 610.66

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Solution

The fourth proportional to 2,071.66, 3,107.82 and 610.66 is: 916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.66 : 3,107.82 = 610.66 : x
  2. Step 2: Convert to fraction form
    2,071.66/3,107.82 = 610.66/x
  3. Step 3: Cross multiply
    2,071.66x = 3,107.82 × 610.66
  4. Step 4: Simplify right side
    2,071.66x = 1,897,821.36
  5. Step 5: Solve for x
    x = 1,897,821.36/2,071.66
  6. Step 6: Final answer
    x = 916.09

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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.