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Finding the Fourth Proportional to 13,396.10, 20,090.13 and 8,406.05

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Solution

The fourth proportional to 13,396.10, 20,090.13 and 8,406.05 is: 12,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.10 : 20,090.13 = 8,406.05 : x
  2. Step 2: Convert to fraction form
    13,396.10/20,090.13 = 8,406.05/x
  3. Step 3: Cross multiply
    13,396.10x = 20,090.13 × 8,406.05
  4. Step 4: Simplify right side
    13,396.10x = 168,878,536.84
  5. Step 5: Solve for x
    x = 168,878,536.84/13,396.10
  6. Step 6: Final answer
    x = 12,606.55

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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.