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Finding the Fourth Proportional to 2,013.65, 3,020.95 and 843.00

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Solution

The fourth proportional to 2,013.65, 3,020.95 and 843.00 is: 1,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.65 : 3,020.95 = 843.00 : x
  2. Step 2: Convert to fraction form
    2,013.65/3,020.95 = 843.00/x
  3. Step 3: Cross multiply
    2,013.65x = 3,020.95 × 843.00
  4. Step 4: Simplify right side
    2,013.65x = 2,546,641.53
  5. Step 5: Solve for x
    x = 2,546,641.53/2,013.65
  6. Step 6: Final answer
    x = 1,264.69

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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.