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Finding the Fourth Proportional to 3,188, 4,776.06 and 2,949.32

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Solution

The fourth proportional to 3,188, 4,776.06 and 2,949.32 is: 4,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188 : 4,776.06 = 2,949.32 : x
  2. Step 2: Convert to fraction form
    3,188/4,776.06 = 2,949.32/x
  3. Step 3: Cross multiply
    3,188x = 4,776.06 × 2,949.32
  4. Step 4: Simplify right side
    3,188x = 14,086,129.28
  5. Step 5: Solve for x
    x = 14,086,129.28/3,188
  6. Step 6: Final answer
    x = 4,418.48

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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.