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Finding the Fourth Proportional to 6,855.13, 9,460.51 and 3,869.88

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Solution

The fourth proportional to 6,855.13, 9,460.51 and 3,869.88 is: 5,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.13 : 9,460.51 = 3,869.88 : x
  2. Step 2: Convert to fraction form
    6,855.13/9,460.51 = 3,869.88/x
  3. Step 3: Cross multiply
    6,855.13x = 9,460.51 × 3,869.88
  4. Step 4: Simplify right side
    6,855.13x = 36,611,038.44
  5. Step 5: Solve for x
    x = 36,611,038.44/6,855.13
  6. Step 6: Final answer
    x = 5,340.68

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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.