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Finding the Fourth Proportional to 13,466.34, 20,168.16 and 12,999.24

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Solution

The fourth proportional to 13,466.34, 20,168.16 and 12,999.24 is: 19,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.34 : 20,168.16 = 12,999.24 : x
  2. Step 2: Convert to fraction form
    13,466.34/20,168.16 = 12,999.24/x
  3. Step 3: Cross multiply
    13,466.34x = 20,168.16 × 12,999.24
  4. Step 4: Simplify right side
    13,466.34x = 262,170,752.20
  5. Step 5: Solve for x
    x = 262,170,752.20/13,466.34
  6. Step 6: Final answer
    x = 19,468.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.