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Finding the Fourth Proportional to 2,658.26, 3,986.58 and 1,270.87

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Solution

The fourth proportional to 2,658.26, 3,986.58 and 1,270.87 is: 1,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.26 : 3,986.58 = 1,270.87 : x
  2. Step 2: Convert to fraction form
    2,658.26/3,986.58 = 1,270.87/x
  3. Step 3: Cross multiply
    2,658.26x = 3,986.58 × 1,270.87
  4. Step 4: Simplify right side
    2,658.26x = 5,066,424.92
  5. Step 5: Solve for x
    x = 5,066,424.92/2,658.26
  6. Step 6: Final answer
    x = 1,905.92

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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.