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Finding the Fourth Proportional to 21,825.76, 30,119.54 and 11,889.76

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Solution

The fourth proportional to 21,825.76, 30,119.54 and 11,889.76 is: 16,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.76 : 30,119.54 = 11,889.76 : x
  2. Step 2: Convert to fraction form
    21,825.76/30,119.54 = 11,889.76/x
  3. Step 3: Cross multiply
    21,825.76x = 30,119.54 × 11,889.76
  4. Step 4: Simplify right side
    21,825.76x = 358,114,101.91
  5. Step 5: Solve for x
    x = 358,114,101.91/21,825.76
  6. Step 6: Final answer
    x = 16,407.86

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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.