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Finding the Fourth Proportional to 2,629.94, 3,942.47 and 987.58

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Solution

The fourth proportional to 2,629.94, 3,942.47 and 987.58 is: 1,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.94 : 3,942.47 = 987.58 : x
  2. Step 2: Convert to fraction form
    2,629.94/3,942.47 = 987.58/x
  3. Step 3: Cross multiply
    2,629.94x = 3,942.47 × 987.58
  4. Step 4: Simplify right side
    2,629.94x = 3,893,497.14
  5. Step 5: Solve for x
    x = 3,893,497.14/2,629.94
  6. Step 6: Final answer
    x = 1,480.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.