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Finding the Fourth Proportional to 2,785.64, 3,842 and 1,791

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Solution

The fourth proportional to 2,785.64, 3,842 and 1,791 is: 2,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.64 : 3,842 = 1,791 : x
  2. Step 2: Convert to fraction form
    2,785.64/3,842 = 1,791/x
  3. Step 3: Cross multiply
    2,785.64x = 3,842 × 1,791
  4. Step 4: Simplify right side
    2,785.64x = 6,881,022
  5. Step 5: Solve for x
    x = 6,881,022/2,785.64
  6. Step 6: Final answer
    x = 2,470.18

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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.