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Finding the Fourth Proportional to 2,078.48, 3,118.38 and 617.66

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Solution

The fourth proportional to 2,078.48, 3,118.38 and 617.66 is: 926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.48 : 3,118.38 = 617.66 : x
  2. Step 2: Convert to fraction form
    2,078.48/3,118.38 = 617.66/x
  3. Step 3: Cross multiply
    2,078.48x = 3,118.38 × 617.66
  4. Step 4: Simplify right side
    2,078.48x = 1,926,098.59
  5. Step 5: Solve for x
    x = 1,926,098.59/2,078.48
  6. Step 6: Final answer
    x = 926.69

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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.