Home / 1,947.64-2,687.70-1,161.40

Finding the Fourth Proportional to 1,947.64, 2,687.70 and 1,161.40

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Solution

The fourth proportional to 1,947.64, 2,687.70 and 1,161.40 is: 1,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.64 : 2,687.70 = 1,161.40 : x
  2. Step 2: Convert to fraction form
    1,947.64/2,687.70 = 1,161.40/x
  3. Step 3: Cross multiply
    1,947.64x = 2,687.70 × 1,161.40
  4. Step 4: Simplify right side
    1,947.64x = 3,121,494.78
  5. Step 5: Solve for x
    x = 3,121,494.78/1,947.64
  6. Step 6: Final answer
    x = 1,602.71

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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.