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Finding the Fourth Proportional to 1,412.87, 1,947.67 and 991.94

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Solution

The fourth proportional to 1,412.87, 1,947.67 and 991.94 is: 1,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.87 : 1,947.67 = 991.94 : x
  2. Step 2: Convert to fraction form
    1,412.87/1,947.67 = 991.94/x
  3. Step 3: Cross multiply
    1,412.87x = 1,947.67 × 991.94
  4. Step 4: Simplify right side
    1,412.87x = 1,931,959.56
  5. Step 5: Solve for x
    x = 1,931,959.56/1,412.87
  6. Step 6: Final answer
    x = 1,367.41

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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.