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Finding the Fourth Proportional to 13,588.71, 20,384.97 and 4,229.42

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Solution

The fourth proportional to 13,588.71, 20,384.97 and 4,229.42 is: 6,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.71 : 20,384.97 = 4,229.42 : x
  2. Step 2: Convert to fraction form
    13,588.71/20,384.97 = 4,229.42/x
  3. Step 3: Cross multiply
    13,588.71x = 20,384.97 × 4,229.42
  4. Step 4: Simplify right side
    13,588.71x = 86,216,482.03
  5. Step 5: Solve for x
    x = 86,216,482.03/13,588.71
  6. Step 6: Final answer
    x = 6,344.71

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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.