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Finding the Fourth Proportional to 8,540.33, 12,802.68 and 7,232.49

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Solution

The fourth proportional to 8,540.33, 12,802.68 and 7,232.49 is: 10,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.33 : 12,802.68 = 7,232.49 : x
  2. Step 2: Convert to fraction form
    8,540.33/12,802.68 = 7,232.49/x
  3. Step 3: Cross multiply
    8,540.33x = 12,802.68 × 7,232.49
  4. Step 4: Simplify right side
    8,540.33x = 92,595,255.07
  5. Step 5: Solve for x
    x = 92,595,255.07/8,540.33
  6. Step 6: Final answer
    x = 10,842.12

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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.