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Finding the Fourth Proportional to 13,910.06, 20,812.78 and 9,758.17

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Solution

The fourth proportional to 13,910.06, 20,812.78 and 9,758.17 is: 14,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.06 : 20,812.78 = 9,758.17 : x
  2. Step 2: Convert to fraction form
    13,910.06/20,812.78 = 9,758.17/x
  3. Step 3: Cross multiply
    13,910.06x = 20,812.78 × 9,758.17
  4. Step 4: Simplify right side
    13,910.06x = 203,094,683.63
  5. Step 5: Solve for x
    x = 203,094,683.63/13,910.06
  6. Step 6: Final answer
    x = 14,600.56

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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.