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Finding the Fourth Proportional to 14,786.19, 20,408.19 and 9,407.52

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Solution

The fourth proportional to 14,786.19, 20,408.19 and 9,407.52 is: 12,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.19 : 20,408.19 = 9,407.52 : x
  2. Step 2: Convert to fraction form
    14,786.19/20,408.19 = 9,407.52/x
  3. Step 3: Cross multiply
    14,786.19x = 20,408.19 × 9,407.52
  4. Step 4: Simplify right side
    14,786.19x = 191,990,455.59
  5. Step 5: Solve for x
    x = 191,990,455.59/14,786.19
  6. Step 6: Final answer
    x = 12,984.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.