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Finding the Fourth Proportional to 7,648.57, 11,471.77 and 2,453.77

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Solution

The fourth proportional to 7,648.57, 11,471.77 and 2,453.77 is: 3,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.57 : 11,471.77 = 2,453.77 : x
  2. Step 2: Convert to fraction form
    7,648.57/11,471.77 = 2,453.77/x
  3. Step 3: Cross multiply
    7,648.57x = 11,471.77 × 2,453.77
  4. Step 4: Simplify right side
    7,648.57x = 28,149,085.07
  5. Step 5: Solve for x
    x = 28,149,085.07/7,648.57
  6. Step 6: Final answer
    x = 3,680.31

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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.