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Finding the Fourth Proportional to 1,227.06, 1,837.26 and 919.08

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Solution

The fourth proportional to 1,227.06, 1,837.26 and 919.08 is: 1,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.06 : 1,837.26 = 919.08 : x
  2. Step 2: Convert to fraction form
    1,227.06/1,837.26 = 919.08/x
  3. Step 3: Cross multiply
    1,227.06x = 1,837.26 × 919.08
  4. Step 4: Simplify right side
    1,227.06x = 1,688,588.92
  5. Step 5: Solve for x
    x = 1,688,588.92/1,227.06
  6. Step 6: Final answer
    x = 1,376.13

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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.