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Finding the Fourth Proportional to 2,670.71, 4,007.07 and 1,110.31

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Solution

The fourth proportional to 2,670.71, 4,007.07 and 1,110.31 is: 1,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.71 : 4,007.07 = 1,110.31 : x
  2. Step 2: Convert to fraction form
    2,670.71/4,007.07 = 1,110.31/x
  3. Step 3: Cross multiply
    2,670.71x = 4,007.07 × 1,110.31
  4. Step 4: Simplify right side
    2,670.71x = 4,449,079.87
  5. Step 5: Solve for x
    x = 4,449,079.87/2,670.71
  6. Step 6: Final answer
    x = 1,665.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.