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Finding the Fourth Proportional to 6,497.08, 9,743.89 and 1,816.80

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Solution

The fourth proportional to 6,497.08, 9,743.89 and 1,816.80 is: 2,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.08 : 9,743.89 = 1,816.80 : x
  2. Step 2: Convert to fraction form
    6,497.08/9,743.89 = 1,816.80/x
  3. Step 3: Cross multiply
    6,497.08x = 9,743.89 × 1,816.80
  4. Step 4: Simplify right side
    6,497.08x = 17,702,699.35
  5. Step 5: Solve for x
    x = 17,702,699.35/6,497.08
  6. Step 6: Final answer
    x = 2,724.72

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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.