Home / 1,543.22-2,129.97-983.56

Finding the Fourth Proportional to 1,543.22, 2,129.97 and 983.56

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Solution

The fourth proportional to 1,543.22, 2,129.97 and 983.56 is: 1,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.22 : 2,129.97 = 983.56 : x
  2. Step 2: Convert to fraction form
    1,543.22/2,129.97 = 983.56/x
  3. Step 3: Cross multiply
    1,543.22x = 2,129.97 × 983.56
  4. Step 4: Simplify right side
    1,543.22x = 2,094,947.97
  5. Step 5: Solve for x
    x = 2,094,947.97/1,543.22
  6. Step 6: Final answer
    x = 1,357.52

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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.