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Finding the Fourth Proportional to 8,553.16, 12,824.14 and 3,620.20

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Solution

The fourth proportional to 8,553.16, 12,824.14 and 3,620.20 is: 5,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.16 : 12,824.14 = 3,620.20 : x
  2. Step 2: Convert to fraction form
    8,553.16/12,824.14 = 3,620.20/x
  3. Step 3: Cross multiply
    8,553.16x = 12,824.14 × 3,620.20
  4. Step 4: Simplify right side
    8,553.16x = 46,425,951.63
  5. Step 5: Solve for x
    x = 46,425,951.63/8,553.16
  6. Step 6: Final answer
    x = 5,427.93

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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.