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Finding the Fourth Proportional to 12,416.47, 18,624.30 and 5,396.49

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Solution

The fourth proportional to 12,416.47, 18,624.30 and 5,396.49 is: 8,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.47 : 18,624.30 = 5,396.49 : x
  2. Step 2: Convert to fraction form
    12,416.47/18,624.30 = 5,396.49/x
  3. Step 3: Cross multiply
    12,416.47x = 18,624.30 × 5,396.49
  4. Step 4: Simplify right side
    12,416.47x = 100,505,848.71
  5. Step 5: Solve for x
    x = 100,505,848.71/12,416.47
  6. Step 6: Final answer
    x = 8,094.56

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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.