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Finding the Fourth Proportional to 3,967.98, 5,476.58 and 2,290.47

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Solution

The fourth proportional to 3,967.98, 5,476.58 and 2,290.47 is: 3,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.98 : 5,476.58 = 2,290.47 : x
  2. Step 2: Convert to fraction form
    3,967.98/5,476.58 = 2,290.47/x
  3. Step 3: Cross multiply
    3,967.98x = 5,476.58 × 2,290.47
  4. Step 4: Simplify right side
    3,967.98x = 12,543,930.74
  5. Step 5: Solve for x
    x = 12,543,930.74/3,967.98
  6. Step 6: Final answer
    x = 3,161.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.