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Finding the Fourth Proportional to 13,518.02, 20,174.49 and 13,168.10

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Solution

The fourth proportional to 13,518.02, 20,174.49 and 13,168.10 is: 19,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.02 : 20,174.49 = 13,168.10 : x
  2. Step 2: Convert to fraction form
    13,518.02/20,174.49 = 13,168.10/x
  3. Step 3: Cross multiply
    13,518.02x = 20,174.49 × 13,168.10
  4. Step 4: Simplify right side
    13,518.02x = 265,659,701.77
  5. Step 5: Solve for x
    x = 265,659,701.77/13,518.02
  6. Step 6: Final answer
    x = 19,652.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.