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Finding the Fourth Proportional to 13,410, 20,115 and 5,516.24

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Solution

The fourth proportional to 13,410, 20,115 and 5,516.24 is: 8,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 20,115 = 5,516.24 : x
  2. Step 2: Convert to fraction form
    13,410/20,115 = 5,516.24/x
  3. Step 3: Cross multiply
    13,410x = 20,115 × 5,516.24
  4. Step 4: Simplify right side
    13,410x = 110,959,167.60
  5. Step 5: Solve for x
    x = 110,959,167.60/13,410
  6. Step 6: Final answer
    x = 8,274.36

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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.