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Finding the Fourth Proportional to 2,194.76, 3,288.98 and 945.01

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Solution

The fourth proportional to 2,194.76, 3,288.98 and 945.01 is: 1,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.76 : 3,288.98 = 945.01 : x
  2. Step 2: Convert to fraction form
    2,194.76/3,288.98 = 945.01/x
  3. Step 3: Cross multiply
    2,194.76x = 3,288.98 × 945.01
  4. Step 4: Simplify right side
    2,194.76x = 3,108,113.56
  5. Step 5: Solve for x
    x = 3,108,113.56/2,194.76
  6. Step 6: Final answer
    x = 1,416.15

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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.