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Finding the Fourth Proportional to 6,855.62, 9,460.71 and 3,871.43

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Solution

The fourth proportional to 6,855.62, 9,460.71 and 3,871.43 is: 5,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.62 : 9,460.71 = 3,871.43 : x
  2. Step 2: Convert to fraction form
    6,855.62/9,460.71 = 3,871.43/x
  3. Step 3: Cross multiply
    6,855.62x = 9,460.71 × 3,871.43
  4. Step 4: Simplify right side
    6,855.62x = 36,626,476.52
  5. Step 5: Solve for x
    x = 36,626,476.52/6,855.62
  6. Step 6: Final answer
    x = 5,342.55

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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.