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Finding the Fourth Proportional to 8,469.45, 12,712.06 and 4,312.57

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Solution

The fourth proportional to 8,469.45, 12,712.06 and 4,312.57 is: 6,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.45 : 12,712.06 = 4,312.57 : x
  2. Step 2: Convert to fraction form
    8,469.45/12,712.06 = 4,312.57/x
  3. Step 3: Cross multiply
    8,469.45x = 12,712.06 × 4,312.57
  4. Step 4: Simplify right side
    8,469.45x = 54,821,648.59
  5. Step 5: Solve for x
    x = 54,821,648.59/8,469.45
  6. Step 6: Final answer
    x = 6,472.87

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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.