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Finding the Fourth Proportional to 18,684.88, 25,770.56 and 11,971.14

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Solution

The fourth proportional to 18,684.88, 25,770.56 and 11,971.14 is: 16,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.88 : 25,770.56 = 11,971.14 : x
  2. Step 2: Convert to fraction form
    18,684.88/25,770.56 = 11,971.14/x
  3. Step 3: Cross multiply
    18,684.88x = 25,770.56 × 11,971.14
  4. Step 4: Simplify right side
    18,684.88x = 308,502,825.14
  5. Step 5: Solve for x
    x = 308,502,825.14/18,684.88
  6. Step 6: Final answer
    x = 16,510.82

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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.