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Finding the Fourth Proportional to 21,947.22, 32,911.52 and 9,459.45

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Solution

The fourth proportional to 21,947.22, 32,911.52 and 9,459.45 is: 14,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947.22 : 32,911.52 = 9,459.45 : x
  2. Step 2: Convert to fraction form
    21,947.22/32,911.52 = 9,459.45/x
  3. Step 3: Cross multiply
    21,947.22x = 32,911.52 × 9,459.45
  4. Step 4: Simplify right side
    21,947.22x = 311,324,830.57
  5. Step 5: Solve for x
    x = 311,324,830.57/21,947.22
  6. Step 6: Final answer
    x = 14,185.16

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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.