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Finding the Fourth Proportional to 13,750.50, 20,616.50 and 6,350.88

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Solution

The fourth proportional to 13,750.50, 20,616.50 and 6,350.88 is: 9,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.50 : 20,616.50 = 6,350.88 : x
  2. Step 2: Convert to fraction form
    13,750.50/20,616.50 = 6,350.88/x
  3. Step 3: Cross multiply
    13,750.50x = 20,616.50 × 6,350.88
  4. Step 4: Simplify right side
    13,750.50x = 130,932,917.52
  5. Step 5: Solve for x
    x = 130,932,917.52/13,750.50
  6. Step 6: Final answer
    x = 9,522.05

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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.