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Finding the Fourth Proportional to 12,690, 19,035.90 and 3,923.78

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Solution

The fourth proportional to 12,690, 19,035.90 and 3,923.78 is: 5,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 19,035.90 = 3,923.78 : x
  2. Step 2: Convert to fraction form
    12,690/19,035.90 = 3,923.78/x
  3. Step 3: Cross multiply
    12,690x = 19,035.90 × 3,923.78
  4. Step 4: Simplify right side
    12,690x = 74,692,588.52
  5. Step 5: Solve for x
    x = 74,692,588.52/12,690
  6. Step 6: Final answer
    x = 5,885.94

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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.