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Finding the Fourth Proportional to 3,687.65, 5,089 and 2,009.07

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Solution

The fourth proportional to 3,687.65, 5,089 and 2,009.07 is: 2,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.65 : 5,089 = 2,009.07 : x
  2. Step 2: Convert to fraction form
    3,687.65/5,089 = 2,009.07/x
  3. Step 3: Cross multiply
    3,687.65x = 5,089 × 2,009.07
  4. Step 4: Simplify right side
    3,687.65x = 10,224,157.23
  5. Step 5: Solve for x
    x = 10,224,157.23/3,687.65
  6. Step 6: Final answer
    x = 2,772.54

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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.