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Finding the Fourth Proportional to 13,081, 18,047.79 and 7,414.84

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Solution

The fourth proportional to 13,081, 18,047.79 and 7,414.84 is: 10,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081 : 18,047.79 = 7,414.84 : x
  2. Step 2: Convert to fraction form
    13,081/18,047.79 = 7,414.84/x
  3. Step 3: Cross multiply
    13,081x = 18,047.79 × 7,414.84
  4. Step 4: Simplify right side
    13,081x = 133,821,475.20
  5. Step 5: Solve for x
    x = 133,821,475.20/13,081
  6. Step 6: Final answer
    x = 10,230.22

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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.