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Finding the Fourth Proportional to 6,786.05, 10,164.03 and 5,214.48

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Solution

The fourth proportional to 6,786.05, 10,164.03 and 5,214.48 is: 7,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.05 : 10,164.03 = 5,214.48 : x
  2. Step 2: Convert to fraction form
    6,786.05/10,164.03 = 5,214.48/x
  3. Step 3: Cross multiply
    6,786.05x = 10,164.03 × 5,214.48
  4. Step 4: Simplify right side
    6,786.05x = 53,000,176.12
  5. Step 5: Solve for x
    x = 53,000,176.12/6,786.05
  6. Step 6: Final answer
    x = 7,810.17

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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.