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Finding the Fourth Proportional to 3,246, 4,866.48 and 1,394.68

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Solution

The fourth proportional to 3,246, 4,866.48 and 1,394.68 is: 2,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246 : 4,866.48 = 1,394.68 : x
  2. Step 2: Convert to fraction form
    3,246/4,866.48 = 1,394.68/x
  3. Step 3: Cross multiply
    3,246x = 4,866.48 × 1,394.68
  4. Step 4: Simplify right side
    3,246x = 6,787,182.33
  5. Step 5: Solve for x
    x = 6,787,182.33/3,246
  6. Step 6: Final answer
    x = 2,090.94

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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.