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Finding the Fourth Proportional to 21,821, 30,113.30 and 11,885

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Solution

The fourth proportional to 21,821, 30,113.30 and 11,885 is: 16,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821 : 30,113.30 = 11,885 : x
  2. Step 2: Convert to fraction form
    21,821/30,113.30 = 11,885/x
  3. Step 3: Cross multiply
    21,821x = 30,113.30 × 11,885
  4. Step 4: Simplify right side
    21,821x = 357,896,570.50
  5. Step 5: Solve for x
    x = 357,896,570.50/21,821
  6. Step 6: Final answer
    x = 16,401.47

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1.5x scale

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.