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Finding the Fourth Proportional to 9,965.10, 13,751.82 and 5,488.86

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Solution

The fourth proportional to 9,965.10, 13,751.82 and 5,488.86 is: 7,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.10 : 13,751.82 = 5,488.86 : x
  2. Step 2: Convert to fraction form
    9,965.10/13,751.82 = 5,488.86/x
  3. Step 3: Cross multiply
    9,965.10x = 13,751.82 × 5,488.86
  4. Step 4: Simplify right side
    9,965.10x = 75,481,814.73
  5. Step 5: Solve for x
    x = 75,481,814.73/9,965.10
  6. Step 6: Final answer
    x = 7,574.62

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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.