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Finding the Fourth Proportional to 1,785.97, 2,466 and 1,392.31

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Solution

The fourth proportional to 1,785.97, 2,466 and 1,392.31 is: 1,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.97 : 2,466 = 1,392.31 : x
  2. Step 2: Convert to fraction form
    1,785.97/2,466 = 1,392.31/x
  3. Step 3: Cross multiply
    1,785.97x = 2,466 × 1,392.31
  4. Step 4: Simplify right side
    1,785.97x = 3,433,424.13
  5. Step 5: Solve for x
    x = 3,433,424.13/1,785.97
  6. Step 6: Final answer
    x = 1,922.45

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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.