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Finding the Fourth Proportional to 22,809.90, 31,486.14 and 16,889.34

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Solution

The fourth proportional to 22,809.90, 31,486.14 and 16,889.34 is: 23,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.90 : 31,486.14 = 16,889.34 : x
  2. Step 2: Convert to fraction form
    22,809.90/31,486.14 = 16,889.34/x
  3. Step 3: Cross multiply
    22,809.90x = 31,486.14 × 16,889.34
  4. Step 4: Simplify right side
    22,809.90x = 531,780,123.75
  5. Step 5: Solve for x
    x = 531,780,123.75/22,809.90
  6. Step 6: Final answer
    x = 23,313.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.