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Finding the Fourth Proportional to 47,876.40, 71,814.60 and 12,819.60

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Solution

The fourth proportional to 47,876.40, 71,814.60 and 12,819.60 is: 19,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.40 : 71,814.60 = 12,819.60 : x
  2. Step 2: Convert to fraction form
    47,876.40/71,814.60 = 12,819.60/x
  3. Step 3: Cross multiply
    47,876.40x = 71,814.60 × 12,819.60
  4. Step 4: Simplify right side
    47,876.40x = 920,634,446.16
  5. Step 5: Solve for x
    x = 920,634,446.16/47,876.40
  6. Step 6: Final answer
    x = 19,229.40

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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.