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Finding the Fourth Proportional to 2,486.12, 3,729.48 and 842.36

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Solution

The fourth proportional to 2,486.12, 3,729.48 and 842.36 is: 1,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.12 : 3,729.48 = 842.36 : x
  2. Step 2: Convert to fraction form
    2,486.12/3,729.48 = 842.36/x
  3. Step 3: Cross multiply
    2,486.12x = 3,729.48 × 842.36
  4. Step 4: Simplify right side
    2,486.12x = 3,141,564.77
  5. Step 5: Solve for x
    x = 3,141,564.77/2,486.12
  6. Step 6: Final answer
    x = 1,263.64

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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.