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Finding the Fourth Proportional to 8,453.32, 11,661.70 and 5,470.12

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Solution

The fourth proportional to 8,453.32, 11,661.70 and 5,470.12 is: 7,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.32 : 11,661.70 = 5,470.12 : x
  2. Step 2: Convert to fraction form
    8,453.32/11,661.70 = 5,470.12/x
  3. Step 3: Cross multiply
    8,453.32x = 11,661.70 × 5,470.12
  4. Step 4: Simplify right side
    8,453.32x = 63,790,898.40
  5. Step 5: Solve for x
    x = 63,790,898.40/8,453.32
  6. Step 6: Final answer
    x = 7,546.25

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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.