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Finding the Fourth Proportional to 5,359.72, 8,038.74 and 3,279

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Solution

The fourth proportional to 5,359.72, 8,038.74 and 3,279 is: 4,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.72 : 8,038.74 = 3,279 : x
  2. Step 2: Convert to fraction form
    5,359.72/8,038.74 = 3,279/x
  3. Step 3: Cross multiply
    5,359.72x = 8,038.74 × 3,279
  4. Step 4: Simplify right side
    5,359.72x = 26,359,028.46
  5. Step 5: Solve for x
    x = 26,359,028.46/5,359.72
  6. Step 6: Final answer
    x = 4,917.99

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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.