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Finding the Fourth Proportional to 2,986.88, 4,122.13 and 1,660.71

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Solution

The fourth proportional to 2,986.88, 4,122.13 and 1,660.71 is: 2,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.88 : 4,122.13 = 1,660.71 : x
  2. Step 2: Convert to fraction form
    2,986.88/4,122.13 = 1,660.71/x
  3. Step 3: Cross multiply
    2,986.88x = 4,122.13 × 1,660.71
  4. Step 4: Simplify right side
    2,986.88x = 6,845,662.51
  5. Step 5: Solve for x
    x = 6,845,662.51/2,986.88
  6. Step 6: Final answer
    x = 2,291.91

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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.