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Finding the Fourth Proportional to 5,772, 8,661.84 and 2,124

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Solution

The fourth proportional to 5,772, 8,661.84 and 2,124 is: 3,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 8,661.84 = 2,124 : x
  2. Step 2: Convert to fraction form
    5,772/8,661.84 = 2,124/x
  3. Step 3: Cross multiply
    5,772x = 8,661.84 × 2,124
  4. Step 4: Simplify right side
    5,772x = 18,397,748.16
  5. Step 5: Solve for x
    x = 18,397,748.16/5,772
  6. Step 6: Final answer
    x = 3,187.41

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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.