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Finding the Fourth Proportional to 2,013.41, 3,018.49 and 780.19

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Solution

The fourth proportional to 2,013.41, 3,018.49 and 780.19 is: 1,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.41 : 3,018.49 = 780.19 : x
  2. Step 2: Convert to fraction form
    2,013.41/3,018.49 = 780.19/x
  3. Step 3: Cross multiply
    2,013.41x = 3,018.49 × 780.19
  4. Step 4: Simplify right side
    2,013.41x = 2,354,995.71
  5. Step 5: Solve for x
    x = 2,354,995.71/2,013.41
  6. Step 6: Final answer
    x = 1,169.66

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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.