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Finding the Fourth Proportional to 23,491.20, 35,239.84 and 7,690.80

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Solution

The fourth proportional to 23,491.20, 35,239.84 and 7,690.80 is: 11,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.20 : 35,239.84 = 7,690.80 : x
  2. Step 2: Convert to fraction form
    23,491.20/35,239.84 = 7,690.80/x
  3. Step 3: Cross multiply
    23,491.20x = 35,239.84 × 7,690.80
  4. Step 4: Simplify right side
    23,491.20x = 271,022,561.47
  5. Step 5: Solve for x
    x = 271,022,561.47/23,491.20
  6. Step 6: Final answer
    x = 11,537.20

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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.