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Finding the Fourth Proportional to 1,238.86, 1,708.62 and 1,052.86

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Solution

The fourth proportional to 1,238.86, 1,708.62 and 1,052.86 is: 1,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.86 : 1,708.62 = 1,052.86 : x
  2. Step 2: Convert to fraction form
    1,238.86/1,708.62 = 1,052.86/x
  3. Step 3: Cross multiply
    1,238.86x = 1,708.62 × 1,052.86
  4. Step 4: Simplify right side
    1,238.86x = 1,798,937.65
  5. Step 5: Solve for x
    x = 1,798,937.65/1,238.86
  6. Step 6: Final answer
    x = 1,452.09

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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.