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Finding the Fourth Proportional to 18,384.72, 27,572.16 and 7,994

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Solution

The fourth proportional to 18,384.72, 27,572.16 and 7,994 is: 11,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.72 : 27,572.16 = 7,994 : x
  2. Step 2: Convert to fraction form
    18,384.72/27,572.16 = 7,994/x
  3. Step 3: Cross multiply
    18,384.72x = 27,572.16 × 7,994
  4. Step 4: Simplify right side
    18,384.72x = 220,411,847.04
  5. Step 5: Solve for x
    x = 220,411,847.04/18,384.72
  6. Step 6: Final answer
    x = 11,988.86

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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.