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Finding the Fourth Proportional to 3,981.69, 5,972.43 and 1,903.16

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Solution

The fourth proportional to 3,981.69, 5,972.43 and 1,903.16 is: 2,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.69 : 5,972.43 = 1,903.16 : x
  2. Step 2: Convert to fraction form
    3,981.69/5,972.43 = 1,903.16/x
  3. Step 3: Cross multiply
    3,981.69x = 5,972.43 × 1,903.16
  4. Step 4: Simplify right side
    3,981.69x = 11,366,511.95
  5. Step 5: Solve for x
    x = 11,366,511.95/3,981.69
  6. Step 6: Final answer
    x = 2,854.70

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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.