Home / 1,543.68-2,131.20-1,020.16

Finding the Fourth Proportional to 1,543.68, 2,131.20 and 1,020.16

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Solution

The fourth proportional to 1,543.68, 2,131.20 and 1,020.16 is: 1,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.68 : 2,131.20 = 1,020.16 : x
  2. Step 2: Convert to fraction form
    1,543.68/2,131.20 = 1,020.16/x
  3. Step 3: Cross multiply
    1,543.68x = 2,131.20 × 1,020.16
  4. Step 4: Simplify right side
    1,543.68x = 2,174,164.99
  5. Step 5: Solve for x
    x = 2,174,164.99/1,543.68
  6. Step 6: Final answer
    x = 1,408.43

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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.