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Finding the Fourth Proportional to 7,412.99, 11,119.91 and 4,471.47

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Solution

The fourth proportional to 7,412.99, 11,119.91 and 4,471.47 is: 6,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.99 : 11,119.91 = 4,471.47 : x
  2. Step 2: Convert to fraction form
    7,412.99/11,119.91 = 4,471.47/x
  3. Step 3: Cross multiply
    7,412.99x = 11,119.91 × 4,471.47
  4. Step 4: Simplify right side
    7,412.99x = 49,722,321.61
  5. Step 5: Solve for x
    x = 49,722,321.61/7,412.99
  6. Step 6: Final answer
    x = 6,707.46

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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.