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Finding the Fourth Proportional to 5,172.99, 7,138.74 and 2,815.12

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Solution

The fourth proportional to 5,172.99, 7,138.74 and 2,815.12 is: 3,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.99 : 7,138.74 = 2,815.12 : x
  2. Step 2: Convert to fraction form
    5,172.99/7,138.74 = 2,815.12/x
  3. Step 3: Cross multiply
    5,172.99x = 7,138.74 × 2,815.12
  4. Step 4: Simplify right side
    5,172.99x = 20,096,409.75
  5. Step 5: Solve for x
    x = 20,096,409.75/5,172.99
  6. Step 6: Final answer
    x = 3,884.87

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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.