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Finding the Fourth Proportional to 1,747.98, 2,621.97 and 927.18

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Solution

The fourth proportional to 1,747.98, 2,621.97 and 927.18 is: 1,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.98 : 2,621.97 = 927.18 : x
  2. Step 2: Convert to fraction form
    1,747.98/2,621.97 = 927.18/x
  3. Step 3: Cross multiply
    1,747.98x = 2,621.97 × 927.18
  4. Step 4: Simplify right side
    1,747.98x = 2,431,038.14
  5. Step 5: Solve for x
    x = 2,431,038.14/1,747.98
  6. Step 6: Final answer
    x = 1,390.77

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Similar ratio
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1.5x scale

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.