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Finding the Fourth Proportional to 3,188.78, 4,774.83 and 2,994.14

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Solution

The fourth proportional to 3,188.78, 4,774.83 and 2,994.14 is: 4,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.78 : 4,774.83 = 2,994.14 : x
  2. Step 2: Convert to fraction form
    3,188.78/4,774.83 = 2,994.14/x
  3. Step 3: Cross multiply
    3,188.78x = 4,774.83 × 2,994.14
  4. Step 4: Simplify right side
    3,188.78x = 14,296,509.50
  5. Step 5: Solve for x
    x = 14,296,509.50/3,188.78
  6. Step 6: Final answer
    x = 4,483.38

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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.