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Finding the Fourth Proportional to 20,899.44, 31,324.44 and 9,188.16

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Solution

The fourth proportional to 20,899.44, 31,324.44 and 9,188.16 is: 13,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.44 : 31,324.44 = 9,188.16 : x
  2. Step 2: Convert to fraction form
    20,899.44/31,324.44 = 9,188.16/x
  3. Step 3: Cross multiply
    20,899.44x = 31,324.44 × 9,188.16
  4. Step 4: Simplify right side
    20,899.44x = 287,813,966.63
  5. Step 5: Solve for x
    x = 287,813,966.63/20,899.44
  6. Step 6: Final answer
    x = 13,771.37

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1.5x scale

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.