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Finding the Fourth Proportional to 9,909.44, 13,675.02 and 5,717.69

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Solution

The fourth proportional to 9,909.44, 13,675.02 and 5,717.69 is: 7,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.44 : 13,675.02 = 5,717.69 : x
  2. Step 2: Convert to fraction form
    9,909.44/13,675.02 = 5,717.69/x
  3. Step 3: Cross multiply
    9,909.44x = 13,675.02 × 5,717.69
  4. Step 4: Simplify right side
    9,909.44x = 78,189,525.10
  5. Step 5: Solve for x
    x = 78,189,525.10/9,909.44
  6. Step 6: Final answer
    x = 7,890.41

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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.