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Finding the Fourth Proportional to 4,269, 5,887.17 and 2,778.06

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Solution

The fourth proportional to 4,269, 5,887.17 and 2,778.06 is: 3,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 5,887.17 = 2,778.06 : x
  2. Step 2: Convert to fraction form
    4,269/5,887.17 = 2,778.06/x
  3. Step 3: Cross multiply
    4,269x = 5,887.17 × 2,778.06
  4. Step 4: Simplify right side
    4,269x = 16,354,911.49
  5. Step 5: Solve for x
    x = 16,354,911.49/4,269
  6. Step 6: Final answer
    x = 3,831.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.