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Finding the Fourth Proportional to 6,816.94, 10,164.02 and 6,646.84

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Solution

The fourth proportional to 6,816.94, 10,164.02 and 6,646.84 is: 9,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.94 : 10,164.02 = 6,646.84 : x
  2. Step 2: Convert to fraction form
    6,816.94/10,164.02 = 6,646.84/x
  3. Step 3: Cross multiply
    6,816.94x = 10,164.02 × 6,646.84
  4. Step 4: Simplify right side
    6,816.94x = 67,558,614.70
  5. Step 5: Solve for x
    x = 67,558,614.70/6,816.94
  6. Step 6: Final answer
    x = 9,910.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.