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Finding the Fourth Proportional to 20,608.47, 30,927.50 and 8,770.58

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Solution

The fourth proportional to 20,608.47, 30,927.50 and 8,770.58 is: 13,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608.47 : 30,927.50 = 8,770.58 : x
  2. Step 2: Convert to fraction form
    20,608.47/30,927.50 = 8,770.58/x
  3. Step 3: Cross multiply
    20,608.47x = 30,927.50 × 8,770.58
  4. Step 4: Simplify right side
    20,608.47x = 271,251,914.46
  5. Step 5: Solve for x
    x = 271,251,914.46/20,608.47
  6. Step 6: Final answer
    x = 13,162.16

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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.