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Finding the Fourth Proportional to 2,057.80, 3,086.51 and 577.16

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Solution

The fourth proportional to 2,057.80, 3,086.51 and 577.16 is: 865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.80 : 3,086.51 = 577.16 : x
  2. Step 2: Convert to fraction form
    2,057.80/3,086.51 = 577.16/x
  3. Step 3: Cross multiply
    2,057.80x = 3,086.51 × 577.16
  4. Step 4: Simplify right side
    2,057.80x = 1,781,410.11
  5. Step 5: Solve for x
    x = 1,781,410.11/2,057.80
  6. Step 6: Final answer
    x = 865.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.