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Finding the Fourth Proportional to 6,490.55, 9,736.50 and 2,979.96

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Solution

The fourth proportional to 6,490.55, 9,736.50 and 2,979.96 is: 4,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.55 : 9,736.50 = 2,979.96 : x
  2. Step 2: Convert to fraction form
    6,490.55/9,736.50 = 2,979.96/x
  3. Step 3: Cross multiply
    6,490.55x = 9,736.50 × 2,979.96
  4. Step 4: Simplify right side
    6,490.55x = 29,014,355.20
  5. Step 5: Solve for x
    x = 29,014,355.20/6,490.55
  6. Step 6: Final answer
    x = 4,470.24

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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.