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Finding the Fourth Proportional to 13,169.93, 18,174.85 and 7,867.80

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Solution

The fourth proportional to 13,169.93, 18,174.85 and 7,867.80 is: 10,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.93 : 18,174.85 = 7,867.80 : x
  2. Step 2: Convert to fraction form
    13,169.93/18,174.85 = 7,867.80/x
  3. Step 3: Cross multiply
    13,169.93x = 18,174.85 × 7,867.80
  4. Step 4: Simplify right side
    13,169.93x = 142,996,065.16
  5. Step 5: Solve for x
    x = 142,996,065.16/13,169.93
  6. Step 6: Final answer
    x = 10,857.77

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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.