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Finding the Fourth Proportional to 7,615.44, 10,509.38 and 4,471.68

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Solution

The fourth proportional to 7,615.44, 10,509.38 and 4,471.68 is: 6,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.44 : 10,509.38 = 4,471.68 : x
  2. Step 2: Convert to fraction form
    7,615.44/10,509.38 = 4,471.68/x
  3. Step 3: Cross multiply
    7,615.44x = 10,509.38 × 4,471.68
  4. Step 4: Simplify right side
    7,615.44x = 46,994,584.36
  5. Step 5: Solve for x
    x = 46,994,584.36/7,615.44
  6. Step 6: Final answer
    x = 6,170.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.