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Finding the Fourth Proportional to 2,810, 3,864.84 and 2,460.08

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Solution

The fourth proportional to 2,810, 3,864.84 and 2,460.08 is: 3,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810 : 3,864.84 = 2,460.08 : x
  2. Step 2: Convert to fraction form
    2,810/3,864.84 = 2,460.08/x
  3. Step 3: Cross multiply
    2,810x = 3,864.84 × 2,460.08
  4. Step 4: Simplify right side
    2,810x = 9,507,815.59
  5. Step 5: Solve for x
    x = 9,507,815.59/2,810
  6. Step 6: Final answer
    x = 3,383.56

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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.