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Finding the Fourth Proportional to 21,986.40, 33,028.20 and 21,403.20

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Solution

The fourth proportional to 21,986.40, 33,028.20 and 21,403.20 is: 32,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.40 : 33,028.20 = 21,403.20 : x
  2. Step 2: Convert to fraction form
    21,986.40/33,028.20 = 21,403.20/x
  3. Step 3: Cross multiply
    21,986.40x = 33,028.20 × 21,403.20
  4. Step 4: Simplify right side
    21,986.40x = 706,909,170.24
  5. Step 5: Solve for x
    x = 706,909,170.24/21,986.40
  6. Step 6: Final answer
    x = 32,152.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.