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Finding the Fourth Proportional to 7,465.10, 11,194.70 and 2,782.54

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Solution

The fourth proportional to 7,465.10, 11,194.70 and 2,782.54 is: 4,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.10 : 11,194.70 = 2,782.54 : x
  2. Step 2: Convert to fraction form
    7,465.10/11,194.70 = 2,782.54/x
  3. Step 3: Cross multiply
    7,465.10x = 11,194.70 × 2,782.54
  4. Step 4: Simplify right side
    7,465.10x = 31,149,700.54
  5. Step 5: Solve for x
    x = 31,149,700.54/7,465.10
  6. Step 6: Final answer
    x = 4,172.71

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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.