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Finding the Fourth Proportional to 47,874.36, 71,811.57 and 12,813.09

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Solution

The fourth proportional to 47,874.36, 71,811.57 and 12,813.09 is: 19,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.36 : 71,811.57 = 12,813.09 : x
  2. Step 2: Convert to fraction form
    47,874.36/71,811.57 = 12,813.09/x
  3. Step 3: Cross multiply
    47,874.36x = 71,811.57 × 12,813.09
  4. Step 4: Simplify right side
    47,874.36x = 920,128,109.45
  5. Step 5: Solve for x
    x = 920,128,109.45/47,874.36
  6. Step 6: Final answer
    x = 19,219.64

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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.