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Finding the Fourth Proportional to 6,807.75, 9,393.77 and 3,823.40

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Solution

The fourth proportional to 6,807.75, 9,393.77 and 3,823.40 is: 5,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.75 : 9,393.77 = 3,823.40 : x
  2. Step 2: Convert to fraction form
    6,807.75/9,393.77 = 3,823.40/x
  3. Step 3: Cross multiply
    6,807.75x = 9,393.77 × 3,823.40
  4. Step 4: Simplify right side
    6,807.75x = 35,916,173.26
  5. Step 5: Solve for x
    x = 35,916,173.26/6,807.75
  6. Step 6: Final answer
    x = 5,275.78

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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.