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Finding the Fourth Proportional to 13,767, 20,650.50 and 4,533.72

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Solution

The fourth proportional to 13,767, 20,650.50 and 4,533.72 is: 6,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 20,650.50 = 4,533.72 : x
  2. Step 2: Convert to fraction form
    13,767/20,650.50 = 4,533.72/x
  3. Step 3: Cross multiply
    13,767x = 20,650.50 × 4,533.72
  4. Step 4: Simplify right side
    13,767x = 93,623,584.86
  5. Step 5: Solve for x
    x = 93,623,584.86/13,767
  6. Step 6: Final answer
    x = 6,800.58

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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.