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Finding the Fourth Proportional to 21,986.10, 32,978.66 and 5,346.22

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Solution

The fourth proportional to 21,986.10, 32,978.66 and 5,346.22 is: 8,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.10 : 32,978.66 = 5,346.22 : x
  2. Step 2: Convert to fraction form
    21,986.10/32,978.66 = 5,346.22/x
  3. Step 3: Cross multiply
    21,986.10x = 32,978.66 × 5,346.22
  4. Step 4: Simplify right side
    21,986.10x = 176,311,171.67
  5. Step 5: Solve for x
    x = 176,311,171.67/21,986.10
  6. Step 6: Final answer
    x = 8,019.21

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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.