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Finding the Fourth Proportional to 13,815.26, 20,706.65 and 6,404.12

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Solution

The fourth proportional to 13,815.26, 20,706.65 and 6,404.12 is: 9,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.26 : 20,706.65 = 6,404.12 : x
  2. Step 2: Convert to fraction form
    13,815.26/20,706.65 = 6,404.12/x
  3. Step 3: Cross multiply
    13,815.26x = 20,706.65 × 6,404.12
  4. Step 4: Simplify right side
    13,815.26x = 132,607,835.64
  5. Step 5: Solve for x
    x = 132,607,835.64/13,815.26
  6. Step 6: Final answer
    x = 9,598.65

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1.5x scale

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.