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Finding the Fourth Proportional to 2,783.57, 3,842 and 1,665.17

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Solution

The fourth proportional to 2,783.57, 3,842 and 1,665.17 is: 2,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.57 : 3,842 = 1,665.17 : x
  2. Step 2: Convert to fraction form
    2,783.57/3,842 = 1,665.17/x
  3. Step 3: Cross multiply
    2,783.57x = 3,842 × 1,665.17
  4. Step 4: Simplify right side
    2,783.57x = 6,397,583.14
  5. Step 5: Solve for x
    x = 6,397,583.14/2,783.57
  6. Step 6: Final answer
    x = 2,298.34

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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.