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Finding the Fourth Proportional to 6,333, 8,739.06 and 3,815.28

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Solution

The fourth proportional to 6,333, 8,739.06 and 3,815.28 is: 5,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333 : 8,739.06 = 3,815.28 : x
  2. Step 2: Convert to fraction form
    6,333/8,739.06 = 3,815.28/x
  3. Step 3: Cross multiply
    6,333x = 8,739.06 × 3,815.28
  4. Step 4: Simplify right side
    6,333x = 33,341,960.84
  5. Step 5: Solve for x
    x = 33,341,960.84/6,333
  6. Step 6: Final answer
    x = 5,264.80

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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.