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Finding the Fourth Proportional to 13,197.83, 18,218.99 and 7,821.14

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Solution

The fourth proportional to 13,197.83, 18,218.99 and 7,821.14 is: 10,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.83 : 18,218.99 = 7,821.14 : x
  2. Step 2: Convert to fraction form
    13,197.83/18,218.99 = 7,821.14/x
  3. Step 3: Cross multiply
    13,197.83x = 18,218.99 × 7,821.14
  4. Step 4: Simplify right side
    13,197.83x = 142,493,277.89
  5. Step 5: Solve for x
    x = 142,493,277.89/13,197.83
  6. Step 6: Final answer
    x = 10,796.72

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1.5x scale

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.