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Finding the Fourth Proportional to 1,546.51, 2,314.37 and 961.15

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Solution

The fourth proportional to 1,546.51, 2,314.37 and 961.15 is: 1,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.51 : 2,314.37 = 961.15 : x
  2. Step 2: Convert to fraction form
    1,546.51/2,314.37 = 961.15/x
  3. Step 3: Cross multiply
    1,546.51x = 2,314.37 × 961.15
  4. Step 4: Simplify right side
    1,546.51x = 2,224,451.92
  5. Step 5: Solve for x
    x = 2,224,451.92/1,546.51
  6. Step 6: Final answer
    x = 1,438.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.