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Finding the Fourth Proportional to 2,141.30, 3,212.14 and 660.86

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Solution

The fourth proportional to 2,141.30, 3,212.14 and 660.86 is: 991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.30 : 3,212.14 = 660.86 : x
  2. Step 2: Convert to fraction form
    2,141.30/3,212.14 = 660.86/x
  3. Step 3: Cross multiply
    2,141.30x = 3,212.14 × 660.86
  4. Step 4: Simplify right side
    2,141.30x = 2,122,774.84
  5. Step 5: Solve for x
    x = 2,122,774.84/2,141.30
  6. Step 6: Final answer
    x = 991.35

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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.