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Finding the Fourth Proportional to 13,815.19, 20,706.56 and 6,404.05

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Solution

The fourth proportional to 13,815.19, 20,706.56 and 6,404.05 is: 9,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.19 : 20,706.56 = 6,404.05 : x
  2. Step 2: Convert to fraction form
    13,815.19/20,706.56 = 6,404.05/x
  3. Step 3: Cross multiply
    13,815.19x = 20,706.56 × 6,404.05
  4. Step 4: Simplify right side
    13,815.19x = 132,605,902.27
  5. Step 5: Solve for x
    x = 132,605,902.27/13,815.19
  6. Step 6: Final answer
    x = 9,598.56

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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.