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Finding the Fourth Proportional to 6,490.18, 9,743.64 and 5,571.64

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Solution

The fourth proportional to 6,490.18, 9,743.64 and 5,571.64 is: 8,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.18 : 9,743.64 = 5,571.64 : x
  2. Step 2: Convert to fraction form
    6,490.18/9,743.64 = 5,571.64/x
  3. Step 3: Cross multiply
    6,490.18x = 9,743.64 × 5,571.64
  4. Step 4: Simplify right side
    6,490.18x = 54,288,054.37
  5. Step 5: Solve for x
    x = 54,288,054.37/6,490.18
  6. Step 6: Final answer
    x = 8,364.65

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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.