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Finding the Fourth Proportional to 8,433, 12,650.40 and 2,884.74

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Solution

The fourth proportional to 8,433, 12,650.40 and 2,884.74 is: 4,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 12,650.40 = 2,884.74 : x
  2. Step 2: Convert to fraction form
    8,433/12,650.40 = 2,884.74/x
  3. Step 3: Cross multiply
    8,433x = 12,650.40 × 2,884.74
  4. Step 4: Simplify right side
    8,433x = 36,493,114.90
  5. Step 5: Solve for x
    x = 36,493,114.90/8,433
  6. Step 6: Final answer
    x = 4,327.42

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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.