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Finding the Fourth Proportional to 4,757.56, 7,138.02 and 2,124.82

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Solution

The fourth proportional to 4,757.56, 7,138.02 and 2,124.82 is: 3,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.56 : 7,138.02 = 2,124.82 : x
  2. Step 2: Convert to fraction form
    4,757.56/7,138.02 = 2,124.82/x
  3. Step 3: Cross multiply
    4,757.56x = 7,138.02 × 2,124.82
  4. Step 4: Simplify right side
    4,757.56x = 15,167,024.55
  5. Step 5: Solve for x
    x = 15,167,024.55/4,757.56
  6. Step 6: Final answer
    x = 3,187.99

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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.