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Finding the Fourth Proportional to 2,655.51, 3,982.74 and 2,523.80

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Solution

The fourth proportional to 2,655.51, 3,982.74 and 2,523.80 is: 3,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.51 : 3,982.74 = 2,523.80 : x
  2. Step 2: Convert to fraction form
    2,655.51/3,982.74 = 2,523.80/x
  3. Step 3: Cross multiply
    2,655.51x = 3,982.74 × 2,523.80
  4. Step 4: Simplify right side
    2,655.51x = 10,051,639.21
  5. Step 5: Solve for x
    x = 10,051,639.21/2,655.51
  6. Step 6: Final answer
    x = 3,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.