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Finding the Fourth Proportional to 21,830.40, 32,738.40 and 7,977.60

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Solution

The fourth proportional to 21,830.40, 32,738.40 and 7,977.60 is: 11,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.40 : 32,738.40 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    21,830.40/32,738.40 = 7,977.60/x
  3. Step 3: Cross multiply
    21,830.40x = 32,738.40 × 7,977.60
  4. Step 4: Simplify right side
    21,830.40x = 261,173,859.84
  5. Step 5: Solve for x
    x = 261,173,859.84/21,830.40
  6. Step 6: Final answer
    x = 11,963.77

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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.