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Finding the Fourth Proportional to 11,255.84, 15,532.79 and 6,219.80

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Solution

The fourth proportional to 11,255.84, 15,532.79 and 6,219.80 is: 8,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.84 : 15,532.79 = 6,219.80 : x
  2. Step 2: Convert to fraction form
    11,255.84/15,532.79 = 6,219.80/x
  3. Step 3: Cross multiply
    11,255.84x = 15,532.79 × 6,219.80
  4. Step 4: Simplify right side
    11,255.84x = 96,610,847.24
  5. Step 5: Solve for x
    x = 96,610,847.24/11,255.84
  6. Step 6: Final answer
    x = 8,583.18

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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.