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Finding the Fourth Proportional to 11,868.13, 17,802.21 and 8,159.14

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Solution

The fourth proportional to 11,868.13, 17,802.21 and 8,159.14 is: 12,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.13 : 17,802.21 = 8,159.14 : x
  2. Step 2: Convert to fraction form
    11,868.13/17,802.21 = 8,159.14/x
  3. Step 3: Cross multiply
    11,868.13x = 17,802.21 × 8,159.14
  4. Step 4: Simplify right side
    11,868.13x = 145,250,723.70
  5. Step 5: Solve for x
    x = 145,250,723.70/11,868.13
  6. Step 6: Final answer
    x = 12,238.72

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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.