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Finding the Fourth Proportional to 11,140.40, 16,719 and 7,622

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Solution

The fourth proportional to 11,140.40, 16,719 and 7,622 is: 11,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.40 : 16,719 = 7,622 : x
  2. Step 2: Convert to fraction form
    11,140.40/16,719 = 7,622/x
  3. Step 3: Cross multiply
    11,140.40x = 16,719 × 7,622
  4. Step 4: Simplify right side
    11,140.40x = 127,432,218
  5. Step 5: Solve for x
    x = 127,432,218/11,140.40
  6. Step 6: Final answer
    x = 11,438.75

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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.