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Finding the Fourth Proportional to 6,365.28, 9,549.54 and 1,982.79

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Solution

The fourth proportional to 6,365.28, 9,549.54 and 1,982.79 is: 2,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.28 : 9,549.54 = 1,982.79 : x
  2. Step 2: Convert to fraction form
    6,365.28/9,549.54 = 1,982.79/x
  3. Step 3: Cross multiply
    6,365.28x = 9,549.54 × 1,982.79
  4. Step 4: Simplify right side
    6,365.28x = 18,934,732.42
  5. Step 5: Solve for x
    x = 18,934,732.42/6,365.28
  6. Step 6: Final answer
    x = 2,974.69

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1.5x scale

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.