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Finding the Fourth Proportional to 5,161.50, 7,123 and 2,803.64

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Solution

The fourth proportional to 5,161.50, 7,123 and 2,803.64 is: 3,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.50 : 7,123 = 2,803.64 : x
  2. Step 2: Convert to fraction form
    5,161.50/7,123 = 2,803.64/x
  3. Step 3: Cross multiply
    5,161.50x = 7,123 × 2,803.64
  4. Step 4: Simplify right side
    5,161.50x = 19,970,327.72
  5. Step 5: Solve for x
    x = 19,970,327.72/5,161.50
  6. Step 6: Final answer
    x = 3,869.09

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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.