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Finding the Fourth Proportional to 37,768.60, 56,651.10 and 12,806.20

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Solution

The fourth proportional to 37,768.60, 56,651.10 and 12,806.20 is: 19,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768.60 : 56,651.10 = 12,806.20 : x
  2. Step 2: Convert to fraction form
    37,768.60/56,651.10 = 12,806.20/x
  3. Step 3: Cross multiply
    37,768.60x = 56,651.10 × 12,806.20
  4. Step 4: Simplify right side
    37,768.60x = 725,485,316.82
  5. Step 5: Solve for x
    x = 725,485,316.82/37,768.60
  6. Step 6: Final answer
    x = 19,208.69

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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.