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Finding the Fourth Proportional to 2,966.86, 4,447.92 and 1,486.60

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Solution

The fourth proportional to 2,966.86, 4,447.92 and 1,486.60 is: 2,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.86 : 4,447.92 = 1,486.60 : x
  2. Step 2: Convert to fraction form
    2,966.86/4,447.92 = 1,486.60/x
  3. Step 3: Cross multiply
    2,966.86x = 4,447.92 × 1,486.60
  4. Step 4: Simplify right side
    2,966.86x = 6,612,277.87
  5. Step 5: Solve for x
    x = 6,612,277.87/2,966.86
  6. Step 6: Final answer
    x = 2,228.71

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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.