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Finding the Fourth Proportional to 11,072.88, 16,593.80 and 7,779.24

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Solution

The fourth proportional to 11,072.88, 16,593.80 and 7,779.24 is: 11,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.88 : 16,593.80 = 7,779.24 : x
  2. Step 2: Convert to fraction form
    11,072.88/16,593.80 = 7,779.24/x
  3. Step 3: Cross multiply
    11,072.88x = 16,593.80 × 7,779.24
  4. Step 4: Simplify right side
    11,072.88x = 129,087,152.71
  5. Step 5: Solve for x
    x = 129,087,152.71/11,072.88
  6. Step 6: Final answer
    x = 11,657.96

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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.