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Finding the Fourth Proportional to 1,447.83, 1,991.84 and 1,278.95

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Solution

The fourth proportional to 1,447.83, 1,991.84 and 1,278.95 is: 1,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.83 : 1,991.84 = 1,278.95 : x
  2. Step 2: Convert to fraction form
    1,447.83/1,991.84 = 1,278.95/x
  3. Step 3: Cross multiply
    1,447.83x = 1,991.84 × 1,278.95
  4. Step 4: Simplify right side
    1,447.83x = 2,547,447.41
  5. Step 5: Solve for x
    x = 2,547,447.41/1,447.83
  6. Step 6: Final answer
    x = 1,759.49

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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.