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Finding the Fourth Proportional to 2,390.82, 3,290.13 and 2,376.66

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Solution

The fourth proportional to 2,390.82, 3,290.13 and 2,376.66 is: 3,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.82 : 3,290.13 = 2,376.66 : x
  2. Step 2: Convert to fraction form
    2,390.82/3,290.13 = 2,376.66/x
  3. Step 3: Cross multiply
    2,390.82x = 3,290.13 × 2,376.66
  4. Step 4: Simplify right side
    2,390.82x = 7,819,520.37
  5. Step 5: Solve for x
    x = 7,819,520.37/2,390.82
  6. Step 6: Final answer
    x = 3,270.64

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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.