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Finding the Fourth Proportional to 11,913.30, 17,872.02 and 4,120.32

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Solution

The fourth proportional to 11,913.30, 17,872.02 and 4,120.32 is: 6,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.30 : 17,872.02 = 4,120.32 : x
  2. Step 2: Convert to fraction form
    11,913.30/17,872.02 = 4,120.32/x
  3. Step 3: Cross multiply
    11,913.30x = 17,872.02 × 4,120.32
  4. Step 4: Simplify right side
    11,913.30x = 73,638,441.45
  5. Step 5: Solve for x
    x = 73,638,441.45/11,913.30
  6. Step 6: Final answer
    x = 6,181.20

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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.