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Finding the Fourth Proportional to 7,889,468.80, 11,834,203.20 and 3,637,940.80

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Solution

The fourth proportional to 7,889,468.80, 11,834,203.20 and 3,637,940.80 is: 5,456,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889,468.80 : 11,834,203.20 = 3,637,940.80 : x
  2. Step 2: Convert to fraction form
    7,889,468.80/11,834,203.20 = 3,637,940.80/x
  3. Step 3: Cross multiply
    7,889,468.80x = 11,834,203.20 × 3,637,940.80
  4. Step 4: Simplify right side
    7,889,468.80x = 43,052,130,656,770.55
  5. Step 5: Solve for x
    x = 43,052,130,656,770.55/7,889,468.80
  6. Step 6: Final answer
    x = 5,456,911.20

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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.