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Finding the Fourth Proportional to 6,317.92, 8,716.88 and 4,220

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Solution

The fourth proportional to 6,317.92, 8,716.88 and 4,220 is: 5,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.92 : 8,716.88 = 4,220 : x
  2. Step 2: Convert to fraction form
    6,317.92/8,716.88 = 4,220/x
  3. Step 3: Cross multiply
    6,317.92x = 8,716.88 × 4,220
  4. Step 4: Simplify right side
    6,317.92x = 36,785,233.60
  5. Step 5: Solve for x
    x = 36,785,233.60/6,317.92
  6. Step 6: Final answer
    x = 5,822.36

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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.