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Finding the Fourth Proportional to 2,023.53, 3,035.42 and 542.71

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Solution

The fourth proportional to 2,023.53, 3,035.42 and 542.71 is: 814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.53 : 3,035.42 = 542.71 : x
  2. Step 2: Convert to fraction form
    2,023.53/3,035.42 = 542.71/x
  3. Step 3: Cross multiply
    2,023.53x = 3,035.42 × 542.71
  4. Step 4: Simplify right side
    2,023.53x = 1,647,352.79
  5. Step 5: Solve for x
    x = 1,647,352.79/2,023.53
  6. Step 6: Final answer
    x = 814.10

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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.