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Finding the Fourth Proportional to 12,478.35, 18,716.27 and 4,157.47

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Solution

The fourth proportional to 12,478.35, 18,716.27 and 4,157.47 is: 6,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.35 : 18,716.27 = 4,157.47 : x
  2. Step 2: Convert to fraction form
    12,478.35/18,716.27 = 4,157.47/x
  3. Step 3: Cross multiply
    12,478.35x = 18,716.27 × 4,157.47
  4. Step 4: Simplify right side
    12,478.35x = 77,812,310.25
  5. Step 5: Solve for x
    x = 77,812,310.25/12,478.35
  6. Step 6: Final answer
    x = 6,235.79

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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.