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Finding the Fourth Proportional to 8,474.75, 12,702.93 and 3,788.30

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Solution

The fourth proportional to 8,474.75, 12,702.93 and 3,788.30 is: 5,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.75 : 12,702.93 = 3,788.30 : x
  2. Step 2: Convert to fraction form
    8,474.75/12,702.93 = 3,788.30/x
  3. Step 3: Cross multiply
    8,474.75x = 12,702.93 × 3,788.30
  4. Step 4: Simplify right side
    8,474.75x = 48,122,527.27
  5. Step 5: Solve for x
    x = 48,122,527.27/8,474.75
  6. Step 6: Final answer
    x = 5,678.34

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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.