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Finding the Fourth Proportional to 3,700.96, 5,107.48 and 2,129.06

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Solution

The fourth proportional to 3,700.96, 5,107.48 and 2,129.06 is: 2,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.96 : 5,107.48 = 2,129.06 : x
  2. Step 2: Convert to fraction form
    3,700.96/5,107.48 = 2,129.06/x
  3. Step 3: Cross multiply
    3,700.96x = 5,107.48 × 2,129.06
  4. Step 4: Simplify right side
    3,700.96x = 10,874,105.83
  5. Step 5: Solve for x
    x = 10,874,105.83/3,700.96
  6. Step 6: Final answer
    x = 2,938.19

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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.