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Finding the Fourth Proportional to 12,913.27, 19,321.03 and 7,651.11

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Solution

The fourth proportional to 12,913.27, 19,321.03 and 7,651.11 is: 11,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.27 : 19,321.03 = 7,651.11 : x
  2. Step 2: Convert to fraction form
    12,913.27/19,321.03 = 7,651.11/x
  3. Step 3: Cross multiply
    12,913.27x = 19,321.03 × 7,651.11
  4. Step 4: Simplify right side
    12,913.27x = 147,827,325.84
  5. Step 5: Solve for x
    x = 147,827,325.84/12,913.27
  6. Step 6: Final answer
    x = 11,447.71

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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.