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Finding the Fourth Proportional to 7,485.76, 11,224.68 and 2,290.24

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Solution

The fourth proportional to 7,485.76, 11,224.68 and 2,290.24 is: 3,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.76 : 11,224.68 = 2,290.24 : x
  2. Step 2: Convert to fraction form
    7,485.76/11,224.68 = 2,290.24/x
  3. Step 3: Cross multiply
    7,485.76x = 11,224.68 × 2,290.24
  4. Step 4: Simplify right side
    7,485.76x = 25,707,211.12
  5. Step 5: Solve for x
    x = 25,707,211.12/7,485.76
  6. Step 6: Final answer
    x = 3,434.15

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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.