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Finding the Fourth Proportional to 6,468.54, 9,702.81 and 2,086.08

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Solution

The fourth proportional to 6,468.54, 9,702.81 and 2,086.08 is: 3,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.54 : 9,702.81 = 2,086.08 : x
  2. Step 2: Convert to fraction form
    6,468.54/9,702.81 = 2,086.08/x
  3. Step 3: Cross multiply
    6,468.54x = 9,702.81 × 2,086.08
  4. Step 4: Simplify right side
    6,468.54x = 20,240,837.88
  5. Step 5: Solve for x
    x = 20,240,837.88/6,468.54
  6. Step 6: Final answer
    x = 3,129.12

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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.