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Finding the Fourth Proportional to 13,219.67, 19,823.17 and 7,674.54

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Solution

The fourth proportional to 13,219.67, 19,823.17 and 7,674.54 is: 11,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.67 : 19,823.17 = 7,674.54 : x
  2. Step 2: Convert to fraction form
    13,219.67/19,823.17 = 7,674.54/x
  3. Step 3: Cross multiply
    13,219.67x = 19,823.17 × 7,674.54
  4. Step 4: Simplify right side
    13,219.67x = 152,133,711.09
  5. Step 5: Solve for x
    x = 152,133,711.09/13,219.67
  6. Step 6: Final answer
    x = 11,508.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.