Home / 1,514.28-2,090.34-983.92

Finding the Fourth Proportional to 1,514.28, 2,090.34 and 983.92

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Solution

The fourth proportional to 1,514.28, 2,090.34 and 983.92 is: 1,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.28 : 2,090.34 = 983.92 : x
  2. Step 2: Convert to fraction form
    1,514.28/2,090.34 = 983.92/x
  3. Step 3: Cross multiply
    1,514.28x = 2,090.34 × 983.92
  4. Step 4: Simplify right side
    1,514.28x = 2,056,727.33
  5. Step 5: Solve for x
    x = 2,056,727.33/1,514.28
  6. Step 6: Final answer
    x = 1,358.22

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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.