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Finding the Fourth Proportional to 21,826, 30,119.88 and 11,890

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Solution

The fourth proportional to 21,826, 30,119.88 and 11,890 is: 16,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826 : 30,119.88 = 11,890 : x
  2. Step 2: Convert to fraction form
    21,826/30,119.88 = 11,890/x
  3. Step 3: Cross multiply
    21,826x = 30,119.88 × 11,890
  4. Step 4: Simplify right side
    21,826x = 358,125,373.20
  5. Step 5: Solve for x
    x = 358,125,373.20/21,826
  6. Step 6: Final answer
    x = 16,408.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.