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Finding the Fourth Proportional to 6,415.08, 9,605.16 and 3,330.60

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Solution

The fourth proportional to 6,415.08, 9,605.16 and 3,330.60 is: 4,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.08 : 9,605.16 = 3,330.60 : x
  2. Step 2: Convert to fraction form
    6,415.08/9,605.16 = 3,330.60/x
  3. Step 3: Cross multiply
    6,415.08x = 9,605.16 × 3,330.60
  4. Step 4: Simplify right side
    6,415.08x = 31,990,945.90
  5. Step 5: Solve for x
    x = 31,990,945.90/6,415.08
  6. Step 6: Final answer
    x = 4,986.84

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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.