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Finding the Fourth Proportional to 1,960.66, 2,705.22 and 1,435.78

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Solution

The fourth proportional to 1,960.66, 2,705.22 and 1,435.78 is: 1,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.66 : 2,705.22 = 1,435.78 : x
  2. Step 2: Convert to fraction form
    1,960.66/2,705.22 = 1,435.78/x
  3. Step 3: Cross multiply
    1,960.66x = 2,705.22 × 1,435.78
  4. Step 4: Simplify right side
    1,960.66x = 3,884,100.77
  5. Step 5: Solve for x
    x = 3,884,100.77/1,960.66
  6. Step 6: Final answer
    x = 1,981.02

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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.