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Finding the Fourth Proportional to 2,013.82, 3,020.82 and 715.48

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Solution

The fourth proportional to 2,013.82, 3,020.82 and 715.48 is: 1,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.82 : 3,020.82 = 715.48 : x
  2. Step 2: Convert to fraction form
    2,013.82/3,020.82 = 715.48/x
  3. Step 3: Cross multiply
    2,013.82x = 3,020.82 × 715.48
  4. Step 4: Simplify right side
    2,013.82x = 2,161,336.29
  5. Step 5: Solve for x
    x = 2,161,336.29/2,013.82
  6. Step 6: Final answer
    x = 1,073.25

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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.