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Finding the Fourth Proportional to 21,826, 32,739 and 9,514

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Solution

The fourth proportional to 21,826, 32,739 and 9,514 is: 14,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826 : 32,739 = 9,514 : x
  2. Step 2: Convert to fraction form
    21,826/32,739 = 9,514/x
  3. Step 3: Cross multiply
    21,826x = 32,739 × 9,514
  4. Step 4: Simplify right side
    21,826x = 311,478,846
  5. Step 5: Solve for x
    x = 311,478,846/21,826
  6. Step 6: Final answer
    x = 14,271

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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.