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Finding the Fourth Proportional to 20,907.36, 28,850.22 and 12,408

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Solution

The fourth proportional to 20,907.36, 28,850.22 and 12,408 is: 17,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.36 : 28,850.22 = 12,408 : x
  2. Step 2: Convert to fraction form
    20,907.36/28,850.22 = 12,408/x
  3. Step 3: Cross multiply
    20,907.36x = 28,850.22 × 12,408
  4. Step 4: Simplify right side
    20,907.36x = 357,973,529.76
  5. Step 5: Solve for x
    x = 357,973,529.76/20,907.36
  6. Step 6: Final answer
    x = 17,121.89

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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.