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Finding the Fourth Proportional to 12,384.40, 18,593.08 and 7,194

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Solution

The fourth proportional to 12,384.40, 18,593.08 and 7,194 is: 10,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.40 : 18,593.08 = 7,194 : x
  2. Step 2: Convert to fraction form
    12,384.40/18,593.08 = 7,194/x
  3. Step 3: Cross multiply
    12,384.40x = 18,593.08 × 7,194
  4. Step 4: Simplify right side
    12,384.40x = 133,758,617.52
  5. Step 5: Solve for x
    x = 133,758,617.52/12,384.40
  6. Step 6: Final answer
    x = 10,800.57

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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.