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Finding the Fourth Proportional to 6,843.60, 9,441.09 and 4,154.40

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Solution

The fourth proportional to 6,843.60, 9,441.09 and 4,154.40 is: 5,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.60 : 9,441.09 = 4,154.40 : x
  2. Step 2: Convert to fraction form
    6,843.60/9,441.09 = 4,154.40/x
  3. Step 3: Cross multiply
    6,843.60x = 9,441.09 × 4,154.40
  4. Step 4: Simplify right side
    6,843.60x = 39,222,064.30
  5. Step 5: Solve for x
    x = 39,222,064.30/6,843.60
  6. Step 6: Final answer
    x = 5,731.20

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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.