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Finding the Fourth Proportional to 3,581.61, 4,940.35 and 2,917

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Solution

The fourth proportional to 3,581.61, 4,940.35 and 2,917 is: 4,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.61 : 4,940.35 = 2,917 : x
  2. Step 2: Convert to fraction form
    3,581.61/4,940.35 = 2,917/x
  3. Step 3: Cross multiply
    3,581.61x = 4,940.35 × 2,917
  4. Step 4: Simplify right side
    3,581.61x = 14,411,000.95
  5. Step 5: Solve for x
    x = 14,411,000.95/3,581.61
  6. Step 6: Final answer
    x = 4,023.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.