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Finding the Fourth Proportional to 21,914.52, 30,242 and 11,978.52

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Solution

The fourth proportional to 21,914.52, 30,242 and 11,978.52 is: 16,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.52 : 30,242 = 11,978.52 : x
  2. Step 2: Convert to fraction form
    21,914.52/30,242 = 11,978.52/x
  3. Step 3: Cross multiply
    21,914.52x = 30,242 × 11,978.52
  4. Step 4: Simplify right side
    21,914.52x = 362,254,401.84
  5. Step 5: Solve for x
    x = 362,254,401.84/21,914.52
  6. Step 6: Final answer
    x = 16,530.34

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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.