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Finding the Fourth Proportional to 12,416.46, 17,134.65 and 7,384.54

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Solution

The fourth proportional to 12,416.46, 17,134.65 and 7,384.54 is: 10,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.46 : 17,134.65 = 7,384.54 : x
  2. Step 2: Convert to fraction form
    12,416.46/17,134.65 = 7,384.54/x
  3. Step 3: Cross multiply
    12,416.46x = 17,134.65 × 7,384.54
  4. Step 4: Simplify right side
    12,416.46x = 126,531,508.31
  5. Step 5: Solve for x
    x = 126,531,508.31/12,416.46
  6. Step 6: Final answer
    x = 10,190.63

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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.