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Finding the Fourth Proportional to 14,817.78, 20,448.46 and 8,103.42

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Solution

The fourth proportional to 14,817.78, 20,448.46 and 8,103.42 is: 11,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.78 : 20,448.46 = 8,103.42 : x
  2. Step 2: Convert to fraction form
    14,817.78/20,448.46 = 8,103.42/x
  3. Step 3: Cross multiply
    14,817.78x = 20,448.46 × 8,103.42
  4. Step 4: Simplify right side
    14,817.78x = 165,702,459.73
  5. Step 5: Solve for x
    x = 165,702,459.73/14,817.78
  6. Step 6: Final answer
    x = 11,182.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.