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Finding the Fourth Proportional to 1,362.43, 1,881.71 and 919.56

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Solution

The fourth proportional to 1,362.43, 1,881.71 and 919.56 is: 1,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.43 : 1,881.71 = 919.56 : x
  2. Step 2: Convert to fraction form
    1,362.43/1,881.71 = 919.56/x
  3. Step 3: Cross multiply
    1,362.43x = 1,881.71 × 919.56
  4. Step 4: Simplify right side
    1,362.43x = 1,730,345.25
  5. Step 5: Solve for x
    x = 1,730,345.25/1,362.43
  6. Step 6: Final answer
    x = 1,270.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.