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Finding the Fourth Proportional to 5,161.57, 7,123 and 2,803.71

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Solution

The fourth proportional to 5,161.57, 7,123 and 2,803.71 is: 3,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.57 : 7,123 = 2,803.71 : x
  2. Step 2: Convert to fraction form
    5,161.57/7,123 = 2,803.71/x
  3. Step 3: Cross multiply
    5,161.57x = 7,123 × 2,803.71
  4. Step 4: Simplify right side
    5,161.57x = 19,970,826.33
  5. Step 5: Solve for x
    x = 19,970,826.33/5,161.57
  6. Step 6: Final answer
    x = 3,869.14

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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.