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Finding the Fourth Proportional to 12,717.81, 19,069.54 and 5,219.30

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Solution

The fourth proportional to 12,717.81, 19,069.54 and 5,219.30 is: 7,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.81 : 19,069.54 = 5,219.30 : x
  2. Step 2: Convert to fraction form
    12,717.81/19,069.54 = 5,219.30/x
  3. Step 3: Cross multiply
    12,717.81x = 19,069.54 × 5,219.30
  4. Step 4: Simplify right side
    12,717.81x = 99,529,650.12
  5. Step 5: Solve for x
    x = 99,529,650.12/12,717.81
  6. Step 6: Final answer
    x = 7,826.01

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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.