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Finding the Fourth Proportional to 3,885.65, 5,817.04 and 2,566.97

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Solution

The fourth proportional to 3,885.65, 5,817.04 and 2,566.97 is: 3,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.65 : 5,817.04 = 2,566.97 : x
  2. Step 2: Convert to fraction form
    3,885.65/5,817.04 = 2,566.97/x
  3. Step 3: Cross multiply
    3,885.65x = 5,817.04 × 2,566.97
  4. Step 4: Simplify right side
    3,885.65x = 14,932,167.17
  5. Step 5: Solve for x
    x = 14,932,167.17/3,885.65
  6. Step 6: Final answer
    x = 3,842.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.