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Finding the Fourth Proportional to 13,086.77, 19,628.04 and 5,689.22

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Solution

The fourth proportional to 13,086.77, 19,628.04 and 5,689.22 is: 8,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.77 : 19,628.04 = 5,689.22 : x
  2. Step 2: Convert to fraction form
    13,086.77/19,628.04 = 5,689.22/x
  3. Step 3: Cross multiply
    13,086.77x = 19,628.04 × 5,689.22
  4. Step 4: Simplify right side
    13,086.77x = 111,668,237.73
  5. Step 5: Solve for x
    x = 111,668,237.73/13,086.77
  6. Step 6: Final answer
    x = 8,532.91

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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.