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Finding the Fourth Proportional to 2,047.38, 3,071.09 and 508.38

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Solution

The fourth proportional to 2,047.38, 3,071.09 and 508.38 is: 762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.38 : 3,071.09 = 508.38 : x
  2. Step 2: Convert to fraction form
    2,047.38/3,071.09 = 508.38/x
  3. Step 3: Cross multiply
    2,047.38x = 3,071.09 × 508.38
  4. Step 4: Simplify right side
    2,047.38x = 1,561,280.73
  5. Step 5: Solve for x
    x = 1,561,280.73/2,047.38
  6. Step 6: Final answer
    x = 762.57

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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.