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Finding the Fourth Proportional to 6,816.70, 9,407 and 3,986.02

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Solution

The fourth proportional to 6,816.70, 9,407 and 3,986.02 is: 5,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.70 : 9,407 = 3,986.02 : x
  2. Step 2: Convert to fraction form
    6,816.70/9,407 = 3,986.02/x
  3. Step 3: Cross multiply
    6,816.70x = 9,407 × 3,986.02
  4. Step 4: Simplify right side
    6,816.70x = 37,496,490.14
  5. Step 5: Solve for x
    x = 37,496,490.14/6,816.70
  6. Step 6: Final answer
    x = 5,500.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.