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Finding the Fourth Proportional to 2,071.68, 3,107.31 and 610.84

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Solution

The fourth proportional to 2,071.68, 3,107.31 and 610.84 is: 916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.68 : 3,107.31 = 610.84 : x
  2. Step 2: Convert to fraction form
    2,071.68/3,107.31 = 610.84/x
  3. Step 3: Cross multiply
    2,071.68x = 3,107.31 × 610.84
  4. Step 4: Simplify right side
    2,071.68x = 1,898,069.24
  5. Step 5: Solve for x
    x = 1,898,069.24/2,071.68
  6. Step 6: Final answer
    x = 916.20

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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.