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Finding the Fourth Proportional to 5,620.16, 8,436 and 3,978.56

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Solution

The fourth proportional to 5,620.16, 8,436 and 3,978.56 is: 5,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.16 : 8,436 = 3,978.56 : x
  2. Step 2: Convert to fraction form
    5,620.16/8,436 = 3,978.56/x
  3. Step 3: Cross multiply
    5,620.16x = 8,436 × 3,978.56
  4. Step 4: Simplify right side
    5,620.16x = 33,563,132.16
  5. Step 5: Solve for x
    x = 33,563,132.16/5,620.16
  6. Step 6: Final answer
    x = 5,971.92

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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.