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Finding the Fourth Proportional to 3,290, 4,546.68 and 2,940.08

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Solution

The fourth proportional to 3,290, 4,546.68 and 2,940.08 is: 4,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 4,546.68 = 2,940.08 : x
  2. Step 2: Convert to fraction form
    3,290/4,546.68 = 2,940.08/x
  3. Step 3: Cross multiply
    3,290x = 4,546.68 × 2,940.08
  4. Step 4: Simplify right side
    3,290x = 13,367,602.93
  5. Step 5: Solve for x
    x = 13,367,602.93/3,290
  6. Step 6: Final answer
    x = 4,063.10

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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.