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Finding the Fourth Proportional to 4,012.52, 6,018 and 1,238.77

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Solution

The fourth proportional to 4,012.52, 6,018 and 1,238.77 is: 1,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.52 : 6,018 = 1,238.77 : x
  2. Step 2: Convert to fraction form
    4,012.52/6,018 = 1,238.77/x
  3. Step 3: Cross multiply
    4,012.52x = 6,018 × 1,238.77
  4. Step 4: Simplify right side
    4,012.52x = 7,454,917.86
  5. Step 5: Solve for x
    x = 7,454,917.86/4,012.52
  6. Step 6: Final answer
    x = 1,857.91

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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.