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Finding the Fourth Proportional to 13,201.99, 19,809.33 and 8,203.01

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Solution

The fourth proportional to 13,201.99, 19,809.33 and 8,203.01 is: 12,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.99 : 19,809.33 = 8,203.01 : x
  2. Step 2: Convert to fraction form
    13,201.99/19,809.33 = 8,203.01/x
  3. Step 3: Cross multiply
    13,201.99x = 19,809.33 × 8,203.01
  4. Step 4: Simplify right side
    13,201.99x = 162,496,002.28
  5. Step 5: Solve for x
    x = 162,496,002.28/13,201.99
  6. Step 6: Final answer
    x = 12,308.45

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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.