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Finding the Fourth Proportional to 1,238.35, 1,857.86 and 1,102.35

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Solution

The fourth proportional to 1,238.35, 1,857.86 and 1,102.35 is: 1,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.35 : 1,857.86 = 1,102.35 : x
  2. Step 2: Convert to fraction form
    1,238.35/1,857.86 = 1,102.35/x
  3. Step 3: Cross multiply
    1,238.35x = 1,857.86 × 1,102.35
  4. Step 4: Simplify right side
    1,238.35x = 2,048,013.31
  5. Step 5: Solve for x
    x = 2,048,013.31/1,238.35
  6. Step 6: Final answer
    x = 1,653.83

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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.