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Finding the Fourth Proportional to 2,122.52, 3,184.14 and 661.64

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Solution

The fourth proportional to 2,122.52, 3,184.14 and 661.64 is: 992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.52 : 3,184.14 = 661.64 : x
  2. Step 2: Convert to fraction form
    2,122.52/3,184.14 = 661.64/x
  3. Step 3: Cross multiply
    2,122.52x = 3,184.14 × 661.64
  4. Step 4: Simplify right side
    2,122.52x = 2,106,754.39
  5. Step 5: Solve for x
    x = 2,106,754.39/2,122.52
  6. Step 6: Final answer
    x = 992.57

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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.