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Finding the Fourth Proportional to 18,442.16, 27,664.80 and 8,061.20

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Solution

The fourth proportional to 18,442.16, 27,664.80 and 8,061.20 is: 12,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.16 : 27,664.80 = 8,061.20 : x
  2. Step 2: Convert to fraction form
    18,442.16/27,664.80 = 8,061.20/x
  3. Step 3: Cross multiply
    18,442.16x = 27,664.80 × 8,061.20
  4. Step 4: Simplify right side
    18,442.16x = 223,011,485.76
  5. Step 5: Solve for x
    x = 223,011,485.76/18,442.16
  6. Step 6: Final answer
    x = 12,092.48

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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.