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Finding the Fourth Proportional to 13,321.86, 19,992.54 and 6,401.22

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Solution

The fourth proportional to 13,321.86, 19,992.54 and 6,401.22 is: 9,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.86 : 19,992.54 = 6,401.22 : x
  2. Step 2: Convert to fraction form
    13,321.86/19,992.54 = 6,401.22/x
  3. Step 3: Cross multiply
    13,321.86x = 19,992.54 × 6,401.22
  4. Step 4: Simplify right side
    13,321.86x = 127,976,646.90
  5. Step 5: Solve for x
    x = 127,976,646.90/13,321.86
  6. Step 6: Final answer
    x = 9,606.51

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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.