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Finding the Fourth Proportional to 3,790.91, 5,681.19 and 2,865.71

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Solution

The fourth proportional to 3,790.91, 5,681.19 and 2,865.71 is: 4,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.91 : 5,681.19 = 2,865.71 : x
  2. Step 2: Convert to fraction form
    3,790.91/5,681.19 = 2,865.71/x
  3. Step 3: Cross multiply
    3,790.91x = 5,681.19 × 2,865.71
  4. Step 4: Simplify right side
    3,790.91x = 16,280,642.99
  5. Step 5: Solve for x
    x = 16,280,642.99/3,790.91
  6. Step 6: Final answer
    x = 4,294.65

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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.