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Finding the Fourth Proportional to 5,416.71, 8,123 and 2,128

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Solution

The fourth proportional to 5,416.71, 8,123 and 2,128 is: 3,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.71 : 8,123 = 2,128 : x
  2. Step 2: Convert to fraction form
    5,416.71/8,123 = 2,128/x
  3. Step 3: Cross multiply
    5,416.71x = 8,123 × 2,128
  4. Step 4: Simplify right side
    5,416.71x = 17,285,744
  5. Step 5: Solve for x
    x = 17,285,744/5,416.71
  6. Step 6: Final answer
    x = 3,191.19

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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.