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Finding the Fourth Proportional to 2,996.74, 4,135.62 and 1,670.68

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Solution

The fourth proportional to 2,996.74, 4,135.62 and 1,670.68 is: 2,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.74 : 4,135.62 = 1,670.68 : x
  2. Step 2: Convert to fraction form
    2,996.74/4,135.62 = 1,670.68/x
  3. Step 3: Cross multiply
    2,996.74x = 4,135.62 × 1,670.68
  4. Step 4: Simplify right side
    2,996.74x = 6,909,297.62
  5. Step 5: Solve for x
    x = 6,909,297.62/2,996.74
  6. Step 6: Final answer
    x = 2,305.60

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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.