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Finding the Fourth Proportional to 13,803.66, 20,709.60 and 6,414.36

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Solution

The fourth proportional to 13,803.66, 20,709.60 and 6,414.36 is: 9,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.66 : 20,709.60 = 6,414.36 : x
  2. Step 2: Convert to fraction form
    13,803.66/20,709.60 = 6,414.36/x
  3. Step 3: Cross multiply
    13,803.66x = 20,709.60 × 6,414.36
  4. Step 4: Simplify right side
    13,803.66x = 132,838,829.86
  5. Step 5: Solve for x
    x = 132,838,829.86/13,803.66
  6. Step 6: Final answer
    x = 9,623.45

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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.