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Finding the Fourth Proportional to 8,290.53, 11,425.19 and 5,928.57

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Solution

The fourth proportional to 8,290.53, 11,425.19 and 5,928.57 is: 8,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.53 : 11,425.19 = 5,928.57 : x
  2. Step 2: Convert to fraction form
    8,290.53/11,425.19 = 5,928.57/x
  3. Step 3: Cross multiply
    8,290.53x = 11,425.19 × 5,928.57
  4. Step 4: Simplify right side
    8,290.53x = 67,735,009.04
  5. Step 5: Solve for x
    x = 67,735,009.04/8,290.53
  6. Step 6: Final answer
    x = 8,170.17

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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.