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Finding the Fourth Proportional to 9,564.63, 13,198.77 and 5,315.97

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Solution

The fourth proportional to 9,564.63, 13,198.77 and 5,315.97 is: 7,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.63 : 13,198.77 = 5,315.97 : x
  2. Step 2: Convert to fraction form
    9,564.63/13,198.77 = 5,315.97/x
  3. Step 3: Cross multiply
    9,564.63x = 13,198.77 × 5,315.97
  4. Step 4: Simplify right side
    9,564.63x = 70,164,265.36
  5. Step 5: Solve for x
    x = 70,164,265.36/9,564.63
  6. Step 6: Final answer
    x = 7,335.81

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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.