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Finding the Fourth Proportional to 21,762, 30,031.80 and 11,826

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Solution

The fourth proportional to 21,762, 30,031.80 and 11,826 is: 16,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762 : 30,031.80 = 11,826 : x
  2. Step 2: Convert to fraction form
    21,762/30,031.80 = 11,826/x
  3. Step 3: Cross multiply
    21,762x = 30,031.80 × 11,826
  4. Step 4: Simplify right side
    21,762x = 355,156,066.80
  5. Step 5: Solve for x
    x = 355,156,066.80/21,762
  6. Step 6: Final answer
    x = 16,320.01

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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.