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Finding the Fourth Proportional to 21,972, 30,321.20 and 11,900.20

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Solution

The fourth proportional to 21,972, 30,321.20 and 11,900.20 is: 16,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972 : 30,321.20 = 11,900.20 : x
  2. Step 2: Convert to fraction form
    21,972/30,321.20 = 11,900.20/x
  3. Step 3: Cross multiply
    21,972x = 30,321.20 × 11,900.20
  4. Step 4: Simplify right side
    21,972x = 360,828,344.24
  5. Step 5: Solve for x
    x = 360,828,344.24/21,972
  6. Step 6: Final answer
    x = 16,422.19

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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.