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Finding the Fourth Proportional to 2,071.85, 3,107.90 and 610.88

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Solution

The fourth proportional to 2,071.85, 3,107.90 and 610.88 is: 916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.85 : 3,107.90 = 610.88 : x
  2. Step 2: Convert to fraction form
    2,071.85/3,107.90 = 610.88/x
  3. Step 3: Cross multiply
    2,071.85x = 3,107.90 × 610.88
  4. Step 4: Simplify right side
    2,071.85x = 1,898,539.94
  5. Step 5: Solve for x
    x = 1,898,539.94/2,071.85
  6. Step 6: Final answer
    x = 916.35

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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.