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Finding the Fourth Proportional to 21,951.64, 32,934.86 and 6,961.21

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Solution

The fourth proportional to 21,951.64, 32,934.86 and 6,961.21 is: 10,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951.64 : 32,934.86 = 6,961.21 : x
  2. Step 2: Convert to fraction form
    21,951.64/32,934.86 = 6,961.21/x
  3. Step 3: Cross multiply
    21,951.64x = 32,934.86 × 6,961.21
  4. Step 4: Simplify right side
    21,951.64x = 229,266,476.78
  5. Step 5: Solve for x
    x = 229,266,476.78/21,951.64
  6. Step 6: Final answer
    x = 10,444.16

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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.