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Finding the Fourth Proportional to 3,810.60, 5,722.94 and 2,281

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Solution

The fourth proportional to 3,810.60, 5,722.94 and 2,281 is: 3,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.60 : 5,722.94 = 2,281 : x
  2. Step 2: Convert to fraction form
    3,810.60/5,722.94 = 2,281/x
  3. Step 3: Cross multiply
    3,810.60x = 5,722.94 × 2,281
  4. Step 4: Simplify right side
    3,810.60x = 13,054,026.14
  5. Step 5: Solve for x
    x = 13,054,026.14/3,810.60
  6. Step 6: Final answer
    x = 3,425.71

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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.