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Finding the Fourth Proportional to 2,345.17, 3,517.89 and 613.75

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Solution

The fourth proportional to 2,345.17, 3,517.89 and 613.75 is: 920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.17 : 3,517.89 = 613.75 : x
  2. Step 2: Convert to fraction form
    2,345.17/3,517.89 = 613.75/x
  3. Step 3: Cross multiply
    2,345.17x = 3,517.89 × 613.75
  4. Step 4: Simplify right side
    2,345.17x = 2,159,104.99
  5. Step 5: Solve for x
    x = 2,159,104.99/2,345.17
  6. Step 6: Final answer
    x = 920.66

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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.