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Finding the Fourth Proportional to 2,078.86, 3,118.74 and 618.13

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Solution

The fourth proportional to 2,078.86, 3,118.74 and 618.13 is: 927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.86 : 3,118.74 = 618.13 : x
  2. Step 2: Convert to fraction form
    2,078.86/3,118.74 = 618.13/x
  3. Step 3: Cross multiply
    2,078.86x = 3,118.74 × 618.13
  4. Step 4: Simplify right side
    2,078.86x = 1,927,786.76
  5. Step 5: Solve for x
    x = 1,927,786.76/2,078.86
  6. Step 6: Final answer
    x = 927.33

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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.