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Finding the Fourth Proportional to 18,366.81, 27,549.57 and 7,978.56

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Solution

The fourth proportional to 18,366.81, 27,549.57 and 7,978.56 is: 11,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,366.81 : 27,549.57 = 7,978.56 : x
  2. Step 2: Convert to fraction form
    18,366.81/27,549.57 = 7,978.56/x
  3. Step 3: Cross multiply
    18,366.81x = 27,549.57 × 7,978.56
  4. Step 4: Simplify right side
    18,366.81x = 219,805,897.22
  5. Step 5: Solve for x
    x = 219,805,897.22/18,366.81
  6. Step 6: Final answer
    x = 11,967.56

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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.