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Finding the Fourth Proportional to 2,071.76, 3,107.66 and 610.94

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Solution

The fourth proportional to 2,071.76, 3,107.66 and 610.94 is: 916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.76 : 3,107.66 = 610.94 : x
  2. Step 2: Convert to fraction form
    2,071.76/3,107.66 = 610.94/x
  3. Step 3: Cross multiply
    2,071.76x = 3,107.66 × 610.94
  4. Step 4: Simplify right side
    2,071.76x = 1,898,593.80
  5. Step 5: Solve for x
    x = 1,898,593.80/2,071.76
  6. Step 6: Final answer
    x = 916.42

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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.