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Finding the Fourth Proportional to 13,833.68, 19,089.20 and 7,864.19

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Solution

The fourth proportional to 13,833.68, 19,089.20 and 7,864.19 is: 10,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.68 : 19,089.20 = 7,864.19 : x
  2. Step 2: Convert to fraction form
    13,833.68/19,089.20 = 7,864.19/x
  3. Step 3: Cross multiply
    13,833.68x = 19,089.20 × 7,864.19
  4. Step 4: Simplify right side
    13,833.68x = 150,120,960.98
  5. Step 5: Solve for x
    x = 150,120,960.98/13,833.68
  6. Step 6: Final answer
    x = 10,851.84

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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.