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Finding the Fourth Proportional to 7,881,613.20, 11,822,419.80 and 5,188,978.80

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Solution

The fourth proportional to 7,881,613.20, 11,822,419.80 and 5,188,978.80 is: 7,783,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,613.20 : 11,822,419.80 = 5,188,978.80 : x
  2. Step 2: Convert to fraction form
    7,881,613.20/11,822,419.80 = 5,188,978.80/x
  3. Step 3: Cross multiply
    7,881,613.20x = 11,822,419.80 × 5,188,978.80
  4. Step 4: Simplify right side
    7,881,613.20x = 61,346,285,706,900.24
  5. Step 5: Solve for x
    x = 61,346,285,706,900.24/7,881,613.20
  6. Step 6: Final answer
    x = 7,783,468.20

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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.