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Finding the Fourth Proportional to 16,120.96, 22,247.28 and 9,047.68

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Solution

The fourth proportional to 16,120.96, 22,247.28 and 9,047.68 is: 12,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.96 : 22,247.28 = 9,047.68 : x
  2. Step 2: Convert to fraction form
    16,120.96/22,247.28 = 9,047.68/x
  3. Step 3: Cross multiply
    16,120.96x = 22,247.28 × 9,047.68
  4. Step 4: Simplify right side
    16,120.96x = 201,286,270.31
  5. Step 5: Solve for x
    x = 201,286,270.31/16,120.96
  6. Step 6: Final answer
    x = 12,486.00

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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.