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Finding the Fourth Proportional to 7,464.97, 10,290.74 and 5,219.86

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Solution

The fourth proportional to 7,464.97, 10,290.74 and 5,219.86 is: 7,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.97 : 10,290.74 = 5,219.86 : x
  2. Step 2: Convert to fraction form
    7,464.97/10,290.74 = 5,219.86/x
  3. Step 3: Cross multiply
    7,464.97x = 10,290.74 × 5,219.86
  4. Step 4: Simplify right side
    7,464.97x = 53,716,222.10
  5. Step 5: Solve for x
    x = 53,716,222.10/7,464.97
  6. Step 6: Final answer
    x = 7,195.77

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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.