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Finding the Fourth Proportional to 8,142,978.60, 12,214,467.90 and 2,824,194.60

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Solution

The fourth proportional to 8,142,978.60, 12,214,467.90 and 2,824,194.60 is: 4,236,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142,978.60 : 12,214,467.90 = 2,824,194.60 : x
  2. Step 2: Convert to fraction form
    8,142,978.60/12,214,467.90 = 2,824,194.60/x
  3. Step 3: Cross multiply
    8,142,978.60x = 12,214,467.90 × 2,824,194.60
  4. Step 4: Simplify right side
    8,142,978.60x = 34,496,034,285,053.34
  5. Step 5: Solve for x
    x = 34,496,034,285,053.34/8,142,978.60
  6. Step 6: Final answer
    x = 4,236,291.90

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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.