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Finding the Fourth Proportional to 5,137.55, 7,709.67 and 4,719.30

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Solution

The fourth proportional to 5,137.55, 7,709.67 and 4,719.30 is: 7,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.55 : 7,709.67 = 4,719.30 : x
  2. Step 2: Convert to fraction form
    5,137.55/7,709.67 = 4,719.30/x
  3. Step 3: Cross multiply
    5,137.55x = 7,709.67 × 4,719.30
  4. Step 4: Simplify right side
    5,137.55x = 36,384,245.63
  5. Step 5: Solve for x
    x = 36,384,245.63/5,137.55
  6. Step 6: Final answer
    x = 7,082.02

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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.