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Finding the Fourth Proportional to 2,653.64, 3,660.06 and 1,708.82

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Solution

The fourth proportional to 2,653.64, 3,660.06 and 1,708.82 is: 2,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.64 : 3,660.06 = 1,708.82 : x
  2. Step 2: Convert to fraction form
    2,653.64/3,660.06 = 1,708.82/x
  3. Step 3: Cross multiply
    2,653.64x = 3,660.06 × 1,708.82
  4. Step 4: Simplify right side
    2,653.64x = 6,254,383.73
  5. Step 5: Solve for x
    x = 6,254,383.73/2,653.64
  6. Step 6: Final answer
    x = 2,356.91

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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.