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Finding the Fourth Proportional to 10,220.40, 14,112.09 and 8,240.40

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Solution

The fourth proportional to 10,220.40, 14,112.09 and 8,240.40 is: 11,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.40 : 14,112.09 = 8,240.40 : x
  2. Step 2: Convert to fraction form
    10,220.40/14,112.09 = 8,240.40/x
  3. Step 3: Cross multiply
    10,220.40x = 14,112.09 × 8,240.40
  4. Step 4: Simplify right side
    10,220.40x = 116,289,266.44
  5. Step 5: Solve for x
    x = 116,289,266.44/10,220.40
  6. Step 6: Final answer
    x = 11,378.15

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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.