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Finding the Fourth Proportional to 13,421, 18,520.98 and 7,453.64

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Solution

The fourth proportional to 13,421, 18,520.98 and 7,453.64 is: 10,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421 : 18,520.98 = 7,453.64 : x
  2. Step 2: Convert to fraction form
    13,421/18,520.98 = 7,453.64/x
  3. Step 3: Cross multiply
    13,421x = 18,520.98 × 7,453.64
  4. Step 4: Simplify right side
    13,421x = 138,048,717.37
  5. Step 5: Solve for x
    x = 138,048,717.37/13,421
  6. Step 6: Final answer
    x = 10,286.02

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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.