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Finding the Fourth Proportional to 21,770.76, 32,656.54 and 6,188.78

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Solution

The fourth proportional to 21,770.76, 32,656.54 and 6,188.78 is: 9,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.76 : 32,656.54 = 6,188.78 : x
  2. Step 2: Convert to fraction form
    21,770.76/32,656.54 = 6,188.78/x
  3. Step 3: Cross multiply
    21,770.76x = 32,656.54 × 6,188.78
  4. Step 4: Simplify right side
    21,770.76x = 202,104,141.62
  5. Step 5: Solve for x
    x = 202,104,141.62/21,770.76
  6. Step 6: Final answer
    x = 9,283.28

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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.