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Finding the Fourth Proportional to 2,670.46, 4,003.80 and 914.62

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Solution

The fourth proportional to 2,670.46, 4,003.80 and 914.62 is: 1,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.46 : 4,003.80 = 914.62 : x
  2. Step 2: Convert to fraction form
    2,670.46/4,003.80 = 914.62/x
  3. Step 3: Cross multiply
    2,670.46x = 4,003.80 × 914.62
  4. Step 4: Simplify right side
    2,670.46x = 3,661,955.56
  5. Step 5: Solve for x
    x = 3,661,955.56/2,670.46
  6. Step 6: Final answer
    x = 1,371.28

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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.