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Finding the Fourth Proportional to 2,842.77, 3,924.23 and 1,911.81

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Solution

The fourth proportional to 2,842.77, 3,924.23 and 1,911.81 is: 2,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.77 : 3,924.23 = 1,911.81 : x
  2. Step 2: Convert to fraction form
    2,842.77/3,924.23 = 1,911.81/x
  3. Step 3: Cross multiply
    2,842.77x = 3,924.23 × 1,911.81
  4. Step 4: Simplify right side
    2,842.77x = 7,502,382.16
  5. Step 5: Solve for x
    x = 7,502,382.16/2,842.77
  6. Step 6: Final answer
    x = 2,639.11

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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.