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Finding the Fourth Proportional to 6,224.78, 8,564.74 and 5,382.79

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Solution

The fourth proportional to 6,224.78, 8,564.74 and 5,382.79 is: 7,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.78 : 8,564.74 = 5,382.79 : x
  2. Step 2: Convert to fraction form
    6,224.78/8,564.74 = 5,382.79/x
  3. Step 3: Cross multiply
    6,224.78x = 8,564.74 × 5,382.79
  4. Step 4: Simplify right side
    6,224.78x = 46,102,161.96
  5. Step 5: Solve for x
    x = 46,102,161.96/6,224.78
  6. Step 6: Final answer
    x = 7,406.23

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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.