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Finding the Fourth Proportional to 18,444, 27,666.72 and 7,356

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Solution

The fourth proportional to 18,444, 27,666.72 and 7,356 is: 11,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444 : 27,666.72 = 7,356 : x
  2. Step 2: Convert to fraction form
    18,444/27,666.72 = 7,356/x
  3. Step 3: Cross multiply
    18,444x = 27,666.72 × 7,356
  4. Step 4: Simplify right side
    18,444x = 203,516,392.32
  5. Step 5: Solve for x
    x = 203,516,392.32/18,444
  6. Step 6: Final answer
    x = 11,034.29

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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.