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Finding the Fourth Proportional to 6,822.69, 10,219.04 and 5,639.28

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Solution

The fourth proportional to 6,822.69, 10,219.04 and 5,639.28 is: 8,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.69 : 10,219.04 = 5,639.28 : x
  2. Step 2: Convert to fraction form
    6,822.69/10,219.04 = 5,639.28/x
  3. Step 3: Cross multiply
    6,822.69x = 10,219.04 × 5,639.28
  4. Step 4: Simplify right side
    6,822.69x = 57,628,027.89
  5. Step 5: Solve for x
    x = 57,628,027.89/6,822.69
  6. Step 6: Final answer
    x = 8,446.53

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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.