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Finding the Fourth Proportional to 8,543.94, 12,815.34 and 4,104.79

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Solution

The fourth proportional to 8,543.94, 12,815.34 and 4,104.79 is: 6,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.94 : 12,815.34 = 4,104.79 : x
  2. Step 2: Convert to fraction form
    8,543.94/12,815.34 = 4,104.79/x
  3. Step 3: Cross multiply
    8,543.94x = 12,815.34 × 4,104.79
  4. Step 4: Simplify right side
    8,543.94x = 52,604,215.40
  5. Step 5: Solve for x
    x = 52,604,215.40/8,543.94
  6. Step 6: Final answer
    x = 6,156.90

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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.