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Finding the Fourth Proportional to 18,534.78, 27,805.68 and 7,442.34

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Solution

The fourth proportional to 18,534.78, 27,805.68 and 7,442.34 is: 11,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.78 : 27,805.68 = 7,442.34 : x
  2. Step 2: Convert to fraction form
    18,534.78/27,805.68 = 7,442.34/x
  3. Step 3: Cross multiply
    18,534.78x = 27,805.68 × 7,442.34
  4. Step 4: Simplify right side
    18,534.78x = 206,939,324.49
  5. Step 5: Solve for x
    x = 206,939,324.49/18,534.78
  6. Step 6: Final answer
    x = 11,164.92

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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.