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Finding the Fourth Proportional to 14,786.19, 20,404.89 and 8,071.74

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Solution

The fourth proportional to 14,786.19, 20,404.89 and 8,071.74 is: 11,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.19 : 20,404.89 = 8,071.74 : x
  2. Step 2: Convert to fraction form
    14,786.19/20,404.89 = 8,071.74/x
  3. Step 3: Cross multiply
    14,786.19x = 20,404.89 × 8,071.74
  4. Step 4: Simplify right side
    14,786.19x = 164,702,966.81
  5. Step 5: Solve for x
    x = 164,702,966.81/14,786.19
  6. Step 6: Final answer
    x = 11,138.97

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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.