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Finding the Fourth Proportional to 27,199.96, 40,798.90 and 7,478

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Solution

The fourth proportional to 27,199.96, 40,798.90 and 7,478 is: 11,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.96 : 40,798.90 = 7,478 : x
  2. Step 2: Convert to fraction form
    27,199.96/40,798.90 = 7,478/x
  3. Step 3: Cross multiply
    27,199.96x = 40,798.90 × 7,478
  4. Step 4: Simplify right side
    27,199.96x = 305,094,174.20
  5. Step 5: Solve for x
    x = 305,094,174.20/27,199.96
  6. Step 6: Final answer
    x = 11,216.71

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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.