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Finding the Fourth Proportional to 10,200, 14,078.40 and 6,224.40

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Solution

The fourth proportional to 10,200, 14,078.40 and 6,224.40 is: 8,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 14,078.40 = 6,224.40 : x
  2. Step 2: Convert to fraction form
    10,200/14,078.40 = 6,224.40/x
  3. Step 3: Cross multiply
    10,200x = 14,078.40 × 6,224.40
  4. Step 4: Simplify right side
    10,200x = 87,629,592.96
  5. Step 5: Solve for x
    x = 87,629,592.96/10,200
  6. Step 6: Final answer
    x = 8,591.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.