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Finding the Fourth Proportional to 6,824.36, 9,418.02 and 3,840.32

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Solution

The fourth proportional to 6,824.36, 9,418.02 and 3,840.32 is: 5,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.36 : 9,418.02 = 3,840.32 : x
  2. Step 2: Convert to fraction form
    6,824.36/9,418.02 = 3,840.32/x
  3. Step 3: Cross multiply
    6,824.36x = 9,418.02 × 3,840.32
  4. Step 4: Simplify right side
    6,824.36x = 36,168,210.57
  5. Step 5: Solve for x
    x = 36,168,210.57/6,824.36
  6. Step 6: Final answer
    x = 5,299.87

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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.