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Finding the Fourth Proportional to 28,380.44, 42,569.05 and 8,657.44

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Solution

The fourth proportional to 28,380.44, 42,569.05 and 8,657.44 is: 12,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380.44 : 42,569.05 = 8,657.44 : x
  2. Step 2: Convert to fraction form
    28,380.44/42,569.05 = 8,657.44/x
  3. Step 3: Cross multiply
    28,380.44x = 42,569.05 × 8,657.44
  4. Step 4: Simplify right side
    28,380.44x = 368,538,996.23
  5. Step 5: Solve for x
    x = 368,538,996.23/28,380.44
  6. Step 6: Final answer
    x = 12,985.67

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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.