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Finding the Fourth Proportional to 13,847.52, 20,776.12 and 6,056.92

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Solution

The fourth proportional to 13,847.52, 20,776.12 and 6,056.92 is: 9,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.52 : 20,776.12 = 6,056.92 : x
  2. Step 2: Convert to fraction form
    13,847.52/20,776.12 = 6,056.92/x
  3. Step 3: Cross multiply
    13,847.52x = 20,776.12 × 6,056.92
  4. Step 4: Simplify right side
    13,847.52x = 125,839,296.75
  5. Step 5: Solve for x
    x = 125,839,296.75/13,847.52
  6. Step 6: Final answer
    x = 9,087.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.