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Finding the Fourth Proportional to 13,337.64, 20,019.02 and 6,768.54

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Solution

The fourth proportional to 13,337.64, 20,019.02 and 6,768.54 is: 10,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337.64 : 20,019.02 = 6,768.54 : x
  2. Step 2: Convert to fraction form
    13,337.64/20,019.02 = 6,768.54/x
  3. Step 3: Cross multiply
    13,337.64x = 20,019.02 × 6,768.54
  4. Step 4: Simplify right side
    13,337.64x = 135,499,503.79
  5. Step 5: Solve for x
    x = 135,499,503.79/13,337.64
  6. Step 6: Final answer
    x = 10,159.18

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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.