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Finding the Fourth Proportional to 13,812.68, 19,069.08 and 10,284.32

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Solution

The fourth proportional to 13,812.68, 19,069.08 and 10,284.32 is: 14,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.68 : 19,069.08 = 10,284.32 : x
  2. Step 2: Convert to fraction form
    13,812.68/19,069.08 = 10,284.32/x
  3. Step 3: Cross multiply
    13,812.68x = 19,069.08 × 10,284.32
  4. Step 4: Simplify right side
    13,812.68x = 196,112,520.83
  5. Step 5: Solve for x
    x = 196,112,520.83/13,812.68
  6. Step 6: Final answer
    x = 14,198.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.