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Finding the Fourth Proportional to 2,042, 3,047.68 and 2,019.92

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Solution

The fourth proportional to 2,042, 3,047.68 and 2,019.92 is: 3,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,047.68 = 2,019.92 : x
  2. Step 2: Convert to fraction form
    2,042/3,047.68 = 2,019.92/x
  3. Step 3: Cross multiply
    2,042x = 3,047.68 × 2,019.92
  4. Step 4: Simplify right side
    2,042x = 6,156,069.79
  5. Step 5: Solve for x
    x = 6,156,069.79/2,042
  6. Step 6: Final answer
    x = 3,014.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.