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Finding the Fourth Proportional to 3,810, 5,257.80 and 2,154

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Solution

The fourth proportional to 3,810, 5,257.80 and 2,154 is: 2,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810 : 5,257.80 = 2,154 : x
  2. Step 2: Convert to fraction form
    3,810/5,257.80 = 2,154/x
  3. Step 3: Cross multiply
    3,810x = 5,257.80 × 2,154
  4. Step 4: Simplify right side
    3,810x = 11,325,301.20
  5. Step 5: Solve for x
    x = 11,325,301.20/3,810
  6. Step 6: Final answer
    x = 2,972.52

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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.