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Finding the Fourth Proportional to 3,378.65, 4,662.54 and 1,886.57

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Solution

The fourth proportional to 3,378.65, 4,662.54 and 1,886.57 is: 2,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.65 : 4,662.54 = 1,886.57 : x
  2. Step 2: Convert to fraction form
    3,378.65/4,662.54 = 1,886.57/x
  3. Step 3: Cross multiply
    3,378.65x = 4,662.54 × 1,886.57
  4. Step 4: Simplify right side
    3,378.65x = 8,796,186.44
  5. Step 5: Solve for x
    x = 8,796,186.44/3,378.65
  6. Step 6: Final answer
    x = 2,603.46

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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.