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Finding the Fourth Proportional to 3,480.98, 4,802.06 and 2,536.31

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Solution

The fourth proportional to 3,480.98, 4,802.06 and 2,536.31 is: 3,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.98 : 4,802.06 = 2,536.31 : x
  2. Step 2: Convert to fraction form
    3,480.98/4,802.06 = 2,536.31/x
  3. Step 3: Cross multiply
    3,480.98x = 4,802.06 × 2,536.31
  4. Step 4: Simplify right side
    3,480.98x = 12,179,524.01
  5. Step 5: Solve for x
    x = 12,179,524.01/3,480.98
  6. Step 6: Final answer
    x = 3,498.88

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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.