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Finding the Fourth Proportional to 12,377.86, 18,597.21 and 7,937.44

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Solution

The fourth proportional to 12,377.86, 18,597.21 and 7,937.44 is: 11,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.86 : 18,597.21 = 7,937.44 : x
  2. Step 2: Convert to fraction form
    12,377.86/18,597.21 = 7,937.44/x
  3. Step 3: Cross multiply
    12,377.86x = 18,597.21 × 7,937.44
  4. Step 4: Simplify right side
    12,377.86x = 147,614,238.54
  5. Step 5: Solve for x
    x = 147,614,238.54/12,377.86
  6. Step 6: Final answer
    x = 11,925.67

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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.