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Finding the Fourth Proportional to 8,512, 11,746.92 and 4,786

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Solution

The fourth proportional to 8,512, 11,746.92 and 4,786 is: 6,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 11,746.92 = 4,786 : x
  2. Step 2: Convert to fraction form
    8,512/11,746.92 = 4,786/x
  3. Step 3: Cross multiply
    8,512x = 11,746.92 × 4,786
  4. Step 4: Simplify right side
    8,512x = 56,220,759.12
  5. Step 5: Solve for x
    x = 56,220,759.12/8,512
  6. Step 6: Final answer
    x = 6,604.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.