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Finding the Fourth Proportional to 21,769.25, 30,041.12 and 14,201.21

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Solution

The fourth proportional to 21,769.25, 30,041.12 and 14,201.21 is: 19,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.25 : 30,041.12 = 14,201.21 : x
  2. Step 2: Convert to fraction form
    21,769.25/30,041.12 = 14,201.21/x
  3. Step 3: Cross multiply
    21,769.25x = 30,041.12 × 14,201.21
  4. Step 4: Simplify right side
    21,769.25x = 426,620,032.54
  5. Step 5: Solve for x
    x = 426,620,032.54/21,769.25
  6. Step 6: Final answer
    x = 19,597.37

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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.