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Finding the Fourth Proportional to 11,981, 17,975.04 and 6,141.72

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Solution

The fourth proportional to 11,981, 17,975.04 and 6,141.72 is: 9,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981 : 17,975.04 = 6,141.72 : x
  2. Step 2: Convert to fraction form
    11,981/17,975.04 = 6,141.72/x
  3. Step 3: Cross multiply
    11,981x = 17,975.04 × 6,141.72
  4. Step 4: Simplify right side
    11,981x = 110,397,662.67
  5. Step 5: Solve for x
    x = 110,397,662.67/11,981
  6. Step 6: Final answer
    x = 9,214.39

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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.