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Finding the Fourth Proportional to 2,047.29, 3,071.14 and 814.43

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Solution

The fourth proportional to 2,047.29, 3,071.14 and 814.43 is: 1,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.29 : 3,071.14 = 814.43 : x
  2. Step 2: Convert to fraction form
    2,047.29/3,071.14 = 814.43/x
  3. Step 3: Cross multiply
    2,047.29x = 3,071.14 × 814.43
  4. Step 4: Simplify right side
    2,047.29x = 2,501,211.16
  5. Step 5: Solve for x
    x = 2,501,211.16/2,047.29
  6. Step 6: Final answer
    x = 1,221.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.