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Finding the Fourth Proportional to 21,102.86, 31,661.89 and 9,868.23

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Solution

The fourth proportional to 21,102.86, 31,661.89 and 9,868.23 is: 14,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.86 : 31,661.89 = 9,868.23 : x
  2. Step 2: Convert to fraction form
    21,102.86/31,661.89 = 9,868.23/x
  3. Step 3: Cross multiply
    21,102.86x = 31,661.89 × 9,868.23
  4. Step 4: Simplify right side
    21,102.86x = 312,446,788.08
  5. Step 5: Solve for x
    x = 312,446,788.08/21,102.86
  6. Step 6: Final answer
    x = 14,805.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.