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Finding the Fourth Proportional to 4,786, 6,604.72 and 2,690

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Solution

The fourth proportional to 4,786, 6,604.72 and 2,690 is: 3,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 6,604.72 = 2,690 : x
  2. Step 2: Convert to fraction form
    4,786/6,604.72 = 2,690/x
  3. Step 3: Cross multiply
    4,786x = 6,604.72 × 2,690
  4. Step 4: Simplify right side
    4,786x = 17,766,696.80
  5. Step 5: Solve for x
    x = 17,766,696.80/4,786
  6. Step 6: Final answer
    x = 3,712.22

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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.