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Finding the Fourth Proportional to 14,337, 19,749.78 and 12,205.68

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Solution

The fourth proportional to 14,337, 19,749.78 and 12,205.68 is: 16,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 19,749.78 = 12,205.68 : x
  2. Step 2: Convert to fraction form
    14,337/19,749.78 = 12,205.68/x
  3. Step 3: Cross multiply
    14,337x = 19,749.78 × 12,205.68
  4. Step 4: Simplify right side
    14,337x = 241,059,494.75
  5. Step 5: Solve for x
    x = 241,059,494.75/14,337
  6. Step 6: Final answer
    x = 16,813.80

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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.