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Finding the Fourth Proportional to 6,816.99, 9,407.16 and 3,984.42

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Solution

The fourth proportional to 6,816.99, 9,407.16 and 3,984.42 is: 5,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.99 : 9,407.16 = 3,984.42 : x
  2. Step 2: Convert to fraction form
    6,816.99/9,407.16 = 3,984.42/x
  3. Step 3: Cross multiply
    6,816.99x = 9,407.16 × 3,984.42
  4. Step 4: Simplify right side
    6,816.99x = 37,482,076.45
  5. Step 5: Solve for x
    x = 37,482,076.45/6,816.99
  6. Step 6: Final answer
    x = 5,498.33

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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.