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Finding the Fourth Proportional to 5,227.86, 7,214.29 and 2,869.86

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Solution

The fourth proportional to 5,227.86, 7,214.29 and 2,869.86 is: 3,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.86 : 7,214.29 = 2,869.86 : x
  2. Step 2: Convert to fraction form
    5,227.86/7,214.29 = 2,869.86/x
  3. Step 3: Cross multiply
    5,227.86x = 7,214.29 × 2,869.86
  4. Step 4: Simplify right side
    5,227.86x = 20,704,002.30
  5. Step 5: Solve for x
    x = 20,704,002.30/5,227.86
  6. Step 6: Final answer
    x = 3,960.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.