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Finding the Fourth Proportional to 4,917.80, 6,786 and 2,927.96

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Solution

The fourth proportional to 4,917.80, 6,786 and 2,927.96 is: 4,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.80 : 6,786 = 2,927.96 : x
  2. Step 2: Convert to fraction form
    4,917.80/6,786 = 2,927.96/x
  3. Step 3: Cross multiply
    4,917.80x = 6,786 × 2,927.96
  4. Step 4: Simplify right side
    4,917.80x = 19,869,136.56
  5. Step 5: Solve for x
    x = 19,869,136.56/4,917.80
  6. Step 6: Final answer
    x = 4,040.25

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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.