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Finding the Fourth Proportional to 2,078.53, 3,117.79 and 617.68

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Solution

The fourth proportional to 2,078.53, 3,117.79 and 617.68 is: 926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.53 : 3,117.79 = 617.68 : x
  2. Step 2: Convert to fraction form
    2,078.53/3,117.79 = 617.68/x
  3. Step 3: Cross multiply
    2,078.53x = 3,117.79 × 617.68
  4. Step 4: Simplify right side
    2,078.53x = 1,925,796.53
  5. Step 5: Solve for x
    x = 1,925,796.53/2,078.53
  6. Step 6: Final answer
    x = 926.52

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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.