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Finding the Fourth Proportional to 11,047.68, 16,577.28 and 6,428.16

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Solution

The fourth proportional to 11,047.68, 16,577.28 and 6,428.16 is: 9,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.68 : 16,577.28 = 6,428.16 : x
  2. Step 2: Convert to fraction form
    11,047.68/16,577.28 = 6,428.16/x
  3. Step 3: Cross multiply
    11,047.68x = 16,577.28 × 6,428.16
  4. Step 4: Simplify right side
    11,047.68x = 106,561,408.20
  5. Step 5: Solve for x
    x = 106,561,408.20/11,047.68
  6. Step 6: Final answer
    x = 9,645.59

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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.