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Finding the Fourth Proportional to 2,997, 4,135.80 and 1,670.64

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Solution

The fourth proportional to 2,997, 4,135.80 and 1,670.64 is: 2,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,135.80 = 1,670.64 : x
  2. Step 2: Convert to fraction form
    2,997/4,135.80 = 1,670.64/x
  3. Step 3: Cross multiply
    2,997x = 4,135.80 × 1,670.64
  4. Step 4: Simplify right side
    2,997x = 6,909,432.91
  5. Step 5: Solve for x
    x = 6,909,432.91/2,997
  6. Step 6: Final answer
    x = 2,305.45

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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.