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Finding the Fourth Proportional to 13,213.71, 19,807.13 and 8,286.78

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Solution

The fourth proportional to 13,213.71, 19,807.13 and 8,286.78 is: 12,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.71 : 19,807.13 = 8,286.78 : x
  2. Step 2: Convert to fraction form
    13,213.71/19,807.13 = 8,286.78/x
  3. Step 3: Cross multiply
    13,213.71x = 19,807.13 × 8,286.78
  4. Step 4: Simplify right side
    13,213.71x = 164,137,423.74
  5. Step 5: Solve for x
    x = 164,137,423.74/13,213.71
  6. Step 6: Final answer
    x = 12,421.75

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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.