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Finding the Fourth Proportional to 27,199.78, 40,803.78 and 9,665.44

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Solution

The fourth proportional to 27,199.78, 40,803.78 and 9,665.44 is: 14,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.78 : 40,803.78 = 9,665.44 : x
  2. Step 2: Convert to fraction form
    27,199.78/40,803.78 = 9,665.44/x
  3. Step 3: Cross multiply
    27,199.78x = 40,803.78 × 9,665.44
  4. Step 4: Simplify right side
    27,199.78x = 394,386,487.36
  5. Step 5: Solve for x
    x = 394,386,487.36/27,199.78
  6. Step 6: Final answer
    x = 14,499.62

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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.