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Finding the Fourth Proportional to 5,701, 7,866.42 and 3,809.54

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Solution

The fourth proportional to 5,701, 7,866.42 and 3,809.54 is: 5,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701 : 7,866.42 = 3,809.54 : x
  2. Step 2: Convert to fraction form
    5,701/7,866.42 = 3,809.54/x
  3. Step 3: Cross multiply
    5,701x = 7,866.42 × 3,809.54
  4. Step 4: Simplify right side
    5,701x = 29,967,441.65
  5. Step 5: Solve for x
    x = 29,967,441.65/5,701
  6. Step 6: Final answer
    x = 5,256.52

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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.