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Finding the Fourth Proportional to 2,078.55, 3,117.77 and 617.71

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Solution

The fourth proportional to 2,078.55, 3,117.77 and 617.71 is: 926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.55 : 3,117.77 = 617.71 : x
  2. Step 2: Convert to fraction form
    2,078.55/3,117.77 = 617.71/x
  3. Step 3: Cross multiply
    2,078.55x = 3,117.77 × 617.71
  4. Step 4: Simplify right side
    2,078.55x = 1,925,877.71
  5. Step 5: Solve for x
    x = 1,925,877.71/2,078.55
  6. Step 6: Final answer
    x = 926.55

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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.