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Finding the Fourth Proportional to 8,433, 12,639.93 and 5,138.83

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Solution

The fourth proportional to 8,433, 12,639.93 and 5,138.83 is: 7,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 12,639.93 = 5,138.83 : x
  2. Step 2: Convert to fraction form
    8,433/12,639.93 = 5,138.83/x
  3. Step 3: Cross multiply
    8,433x = 12,639.93 × 5,138.83
  4. Step 4: Simplify right side
    8,433x = 64,954,451.48
  5. Step 5: Solve for x
    x = 64,954,451.48/8,433
  6. Step 6: Final answer
    x = 7,702.41

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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.