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Finding the Fourth Proportional to 2,078.57, 3,117.98 and 617.60

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Solution

The fourth proportional to 2,078.57, 3,117.98 and 617.60 is: 926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.57 : 3,117.98 = 617.60 : x
  2. Step 2: Convert to fraction form
    2,078.57/3,117.98 = 617.60/x
  3. Step 3: Cross multiply
    2,078.57x = 3,117.98 × 617.60
  4. Step 4: Simplify right side
    2,078.57x = 1,925,650.40
  5. Step 5: Solve for x
    x = 1,925,650.40/2,078.57
  6. Step 6: Final answer
    x = 926.43

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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.