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Finding the Fourth Proportional to 9,759.30, 13,466.97 and 5,780.42

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Solution

The fourth proportional to 9,759.30, 13,466.97 and 5,780.42 is: 7,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.30 : 13,466.97 = 5,780.42 : x
  2. Step 2: Convert to fraction form
    9,759.30/13,466.97 = 5,780.42/x
  3. Step 3: Cross multiply
    9,759.30x = 13,466.97 × 5,780.42
  4. Step 4: Simplify right side
    9,759.30x = 77,844,742.73
  5. Step 5: Solve for x
    x = 77,844,742.73/9,759.30
  6. Step 6: Final answer
    x = 7,976.47

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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.