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Finding the Fourth Proportional to 2,122.14, 3,182.64 and 641.52

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Solution

The fourth proportional to 2,122.14, 3,182.64 and 641.52 is: 962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.14 : 3,182.64 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,122.14/3,182.64 = 641.52/x
  3. Step 3: Cross multiply
    2,122.14x = 3,182.64 × 641.52
  4. Step 4: Simplify right side
    2,122.14x = 2,041,727.21
  5. Step 5: Solve for x
    x = 2,041,727.21/2,122.14
  6. Step 6: Final answer
    x = 962.11

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1.5x scale

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.