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Finding the Fourth Proportional to 9,674.48, 13,361.64 and 8,624.72

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Solution

The fourth proportional to 9,674.48, 13,361.64 and 8,624.72 is: 11,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.48 : 13,361.64 = 8,624.72 : x
  2. Step 2: Convert to fraction form
    9,674.48/13,361.64 = 8,624.72/x
  3. Step 3: Cross multiply
    9,674.48x = 13,361.64 × 8,624.72
  4. Step 4: Simplify right side
    9,674.48x = 115,240,403.74
  5. Step 5: Solve for x
    x = 115,240,403.74/9,674.48
  6. Step 6: Final answer
    x = 11,911.79

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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.