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Finding the Fourth Proportional to 2,013.84, 3,020.39 and 843.53

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Solution

The fourth proportional to 2,013.84, 3,020.39 and 843.53 is: 1,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.84 : 3,020.39 = 843.53 : x
  2. Step 2: Convert to fraction form
    2,013.84/3,020.39 = 843.53/x
  3. Step 3: Cross multiply
    2,013.84x = 3,020.39 × 843.53
  4. Step 4: Simplify right side
    2,013.84x = 2,547,773.42
  5. Step 5: Solve for x
    x = 2,547,773.42/2,013.84
  6. Step 6: Final answer
    x = 1,265.13

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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.