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Finding the Fourth Proportional to 7,640.46, 11,464.86 and 7,617.24

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Solution

The fourth proportional to 7,640.46, 11,464.86 and 7,617.24 is: 11,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.46 : 11,464.86 = 7,617.24 : x
  2. Step 2: Convert to fraction form
    7,640.46/11,464.86 = 7,617.24/x
  3. Step 3: Cross multiply
    7,640.46x = 11,464.86 × 7,617.24
  4. Step 4: Simplify right side
    7,640.46x = 87,330,590.19
  5. Step 5: Solve for x
    x = 87,330,590.19/7,640.46
  6. Step 6: Final answer
    x = 11,430.02

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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.