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Finding the Fourth Proportional to 13,052.63, 19,578.78 and 3,191.99

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Solution

The fourth proportional to 13,052.63, 19,578.78 and 3,191.99 is: 4,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.63 : 19,578.78 = 3,191.99 : x
  2. Step 2: Convert to fraction form
    13,052.63/19,578.78 = 3,191.99/x
  3. Step 3: Cross multiply
    13,052.63x = 19,578.78 × 3,191.99
  4. Step 4: Simplify right side
    13,052.63x = 62,495,351.34
  5. Step 5: Solve for x
    x = 62,495,351.34/13,052.63
  6. Step 6: Final answer
    x = 4,787.95

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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.