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Finding the Fourth Proportional to 3,730.99, 5,147.54 and 2,157.97

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Solution

The fourth proportional to 3,730.99, 5,147.54 and 2,157.97 is: 2,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.99 : 5,147.54 = 2,157.97 : x
  2. Step 2: Convert to fraction form
    3,730.99/5,147.54 = 2,157.97/x
  3. Step 3: Cross multiply
    3,730.99x = 5,147.54 × 2,157.97
  4. Step 4: Simplify right side
    3,730.99x = 11,108,226.10
  5. Step 5: Solve for x
    x = 11,108,226.10/3,730.99
  6. Step 6: Final answer
    x = 2,977.29

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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.