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Finding the Fourth Proportional to 2,172, 2,987.04 and 1,724.64

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Solution

The fourth proportional to 2,172, 2,987.04 and 1,724.64 is: 2,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172 : 2,987.04 = 1,724.64 : x
  2. Step 2: Convert to fraction form
    2,172/2,987.04 = 1,724.64/x
  3. Step 3: Cross multiply
    2,172x = 2,987.04 × 1,724.64
  4. Step 4: Simplify right side
    2,172x = 5,151,568.67
  5. Step 5: Solve for x
    x = 5,151,568.67/2,172
  6. Step 6: Final answer
    x = 2,371.81

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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.