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Finding the Fourth Proportional to 10,133.19, 13,977.97 and 6,097.21

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Solution

The fourth proportional to 10,133.19, 13,977.97 and 6,097.21 is: 8,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.19 : 13,977.97 = 6,097.21 : x
  2. Step 2: Convert to fraction form
    10,133.19/13,977.97 = 6,097.21/x
  3. Step 3: Cross multiply
    10,133.19x = 13,977.97 × 6,097.21
  4. Step 4: Simplify right side
    10,133.19x = 85,226,568.28
  5. Step 5: Solve for x
    x = 85,226,568.28/10,133.19
  6. Step 6: Final answer
    x = 8,410.64

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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.