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Finding the Fourth Proportional to 21,670.38, 32,479.65 and 7,811.82

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Solution

The fourth proportional to 21,670.38, 32,479.65 and 7,811.82 is: 11,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.38 : 32,479.65 = 7,811.82 : x
  2. Step 2: Convert to fraction form
    21,670.38/32,479.65 = 7,811.82/x
  3. Step 3: Cross multiply
    21,670.38x = 32,479.65 × 7,811.82
  4. Step 4: Simplify right side
    21,670.38x = 253,725,179.46
  5. Step 5: Solve for x
    x = 253,725,179.46/21,670.38
  6. Step 6: Final answer
    x = 11,708.39

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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.