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Finding the Fourth Proportional to 2,078.93, 3,117.91 and 617.73

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Solution

The fourth proportional to 2,078.93, 3,117.91 and 617.73 is: 926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.93 : 3,117.91 = 617.73 : x
  2. Step 2: Convert to fraction form
    2,078.93/3,117.91 = 617.73/x
  3. Step 3: Cross multiply
    2,078.93x = 3,117.91 × 617.73
  4. Step 4: Simplify right side
    2,078.93x = 1,926,026.54
  5. Step 5: Solve for x
    x = 1,926,026.54/2,078.93
  6. Step 6: Final answer
    x = 926.45

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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.