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Finding the Fourth Proportional to 19,641.64, 27,100.82 and 11,141.88

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Solution

The fourth proportional to 19,641.64, 27,100.82 and 11,141.88 is: 15,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.64 : 27,100.82 = 11,141.88 : x
  2. Step 2: Convert to fraction form
    19,641.64/27,100.82 = 11,141.88/x
  3. Step 3: Cross multiply
    19,641.64x = 27,100.82 × 11,141.88
  4. Step 4: Simplify right side
    19,641.64x = 301,954,084.34
  5. Step 5: Solve for x
    x = 301,954,084.34/19,641.64
  6. Step 6: Final answer
    x = 15,373.16

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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.