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Finding the Fourth Proportional to 2,057.21, 3,085.76 and 576.42

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Solution

The fourth proportional to 2,057.21, 3,085.76 and 576.42 is: 864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.21 : 3,085.76 = 576.42 : x
  2. Step 2: Convert to fraction form
    2,057.21/3,085.76 = 576.42/x
  3. Step 3: Cross multiply
    2,057.21x = 3,085.76 × 576.42
  4. Step 4: Simplify right side
    2,057.21x = 1,778,690.90
  5. Step 5: Solve for x
    x = 1,778,690.90/2,057.21
  6. Step 6: Final answer
    x = 864.62

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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.