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Finding the Fourth Proportional to 2,844, 3,924.65 and 1,665.08

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Solution

The fourth proportional to 2,844, 3,924.65 and 1,665.08 is: 2,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844 : 3,924.65 = 1,665.08 : x
  2. Step 2: Convert to fraction form
    2,844/3,924.65 = 1,665.08/x
  3. Step 3: Cross multiply
    2,844x = 3,924.65 × 1,665.08
  4. Step 4: Simplify right side
    2,844x = 6,534,856.22
  5. Step 5: Solve for x
    x = 6,534,856.22/2,844
  6. Step 6: Final answer
    x = 2,297.77

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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.