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Finding the Fourth Proportional to 25,984.28, 38,980.47 and 8,450.01

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Solution

The fourth proportional to 25,984.28, 38,980.47 and 8,450.01 is: 12,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.28 : 38,980.47 = 8,450.01 : x
  2. Step 2: Convert to fraction form
    25,984.28/38,980.47 = 8,450.01/x
  3. Step 3: Cross multiply
    25,984.28x = 38,980.47 × 8,450.01
  4. Step 4: Simplify right side
    25,984.28x = 329,385,361.30
  5. Step 5: Solve for x
    x = 329,385,361.30/25,984.28
  6. Step 6: Final answer
    x = 12,676.33

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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.