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Finding the Fourth Proportional to 6,851.40, 9,454.78 and 3,867.16

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Solution

The fourth proportional to 6,851.40, 9,454.78 and 3,867.16 is: 5,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.40 : 9,454.78 = 3,867.16 : x
  2. Step 2: Convert to fraction form
    6,851.40/9,454.78 = 3,867.16/x
  3. Step 3: Cross multiply
    6,851.40x = 9,454.78 × 3,867.16
  4. Step 4: Simplify right side
    6,851.40x = 36,563,147.02
  5. Step 5: Solve for x
    x = 36,563,147.02/6,851.40
  6. Step 6: Final answer
    x = 5,336.60

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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.