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Finding the Fourth Proportional to 21,836.25, 30,134.03 and 11,900.25

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Solution

The fourth proportional to 21,836.25, 30,134.03 and 11,900.25 is: 16,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836.25 : 30,134.03 = 11,900.25 : x
  2. Step 2: Convert to fraction form
    21,836.25/30,134.03 = 11,900.25/x
  3. Step 3: Cross multiply
    21,836.25x = 30,134.03 × 11,900.25
  4. Step 4: Simplify right side
    21,836.25x = 358,602,431.01
  5. Step 5: Solve for x
    x = 358,602,431.01/21,836.25
  6. Step 6: Final answer
    x = 16,422.35

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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.