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Finding the Fourth Proportional to 6,233.37, 8,602.38 and 3,580.95

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Solution

The fourth proportional to 6,233.37, 8,602.38 and 3,580.95 is: 4,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.37 : 8,602.38 = 3,580.95 : x
  2. Step 2: Convert to fraction form
    6,233.37/8,602.38 = 3,580.95/x
  3. Step 3: Cross multiply
    6,233.37x = 8,602.38 × 3,580.95
  4. Step 4: Simplify right side
    6,233.37x = 30,804,654.36
  5. Step 5: Solve for x
    x = 30,804,654.36/6,233.37
  6. Step 6: Final answer
    x = 4,941.90

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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.