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Finding the Fourth Proportional to 3,687.68, 5,089.12 and 2,009.16

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Solution

The fourth proportional to 3,687.68, 5,089.12 and 2,009.16 is: 2,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.68 : 5,089.12 = 2,009.16 : x
  2. Step 2: Convert to fraction form
    3,687.68/5,089.12 = 2,009.16/x
  3. Step 3: Cross multiply
    3,687.68x = 5,089.12 × 2,009.16
  4. Step 4: Simplify right side
    3,687.68x = 10,224,862.62
  5. Step 5: Solve for x
    x = 10,224,862.62/3,687.68
  6. Step 6: Final answer
    x = 2,772.71

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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.