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Finding the Fourth Proportional to 13,384.53, 18,470.79 and 7,416.27

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Solution

The fourth proportional to 13,384.53, 18,470.79 and 7,416.27 is: 10,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.53 : 18,470.79 = 7,416.27 : x
  2. Step 2: Convert to fraction form
    13,384.53/18,470.79 = 7,416.27/x
  3. Step 3: Cross multiply
    13,384.53x = 18,470.79 × 7,416.27
  4. Step 4: Simplify right side
    13,384.53x = 136,984,365.75
  5. Step 5: Solve for x
    x = 136,984,365.75/13,384.53
  6. Step 6: Final answer
    x = 10,234.53

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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.