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Finding the Fourth Proportional to 6,824.94, 9,418.30 and 3,840.77

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Solution

The fourth proportional to 6,824.94, 9,418.30 and 3,840.77 is: 5,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.94 : 9,418.30 = 3,840.77 : x
  2. Step 2: Convert to fraction form
    6,824.94/9,418.30 = 3,840.77/x
  3. Step 3: Cross multiply
    6,824.94x = 9,418.30 × 3,840.77
  4. Step 4: Simplify right side
    6,824.94x = 36,173,504.89
  5. Step 5: Solve for x
    x = 36,173,504.89/6,824.94
  6. Step 6: Final answer
    x = 5,300.20

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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.