Home / 1,947.86-2,686.53-1,161.74

Finding the Fourth Proportional to 1,947.86, 2,686.53 and 1,161.74

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Solution

The fourth proportional to 1,947.86, 2,686.53 and 1,161.74 is: 1,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.86 : 2,686.53 = 1,161.74 : x
  2. Step 2: Convert to fraction form
    1,947.86/2,686.53 = 1,161.74/x
  3. Step 3: Cross multiply
    1,947.86x = 2,686.53 × 1,161.74
  4. Step 4: Simplify right side
    1,947.86x = 3,121,049.36
  5. Step 5: Solve for x
    x = 3,121,049.36/1,947.86
  6. Step 6: Final answer
    x = 1,602.30

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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.