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Finding the Fourth Proportional to 13,719.16, 20,578.40 and 3,858.18

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Solution

The fourth proportional to 13,719.16, 20,578.40 and 3,858.18 is: 5,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.16 : 20,578.40 = 3,858.18 : x
  2. Step 2: Convert to fraction form
    13,719.16/20,578.40 = 3,858.18/x
  3. Step 3: Cross multiply
    13,719.16x = 20,578.40 × 3,858.18
  4. Step 4: Simplify right side
    13,719.16x = 79,395,171.31
  5. Step 5: Solve for x
    x = 79,395,171.31/13,719.16
  6. Step 6: Final answer
    x = 5,787.17

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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.