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Finding the Fourth Proportional to 13,978,768.48, 19,291,321.20 and 7,867,592.80

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Solution

The fourth proportional to 13,978,768.48, 19,291,321.20 and 7,867,592.80 is: 10,857,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978,768.48 : 19,291,321.20 = 7,867,592.80 : x
  2. Step 2: Convert to fraction form
    13,978,768.48/19,291,321.20 = 7,867,592.80/x
  3. Step 3: Cross multiply
    13,978,768.48x = 19,291,321.20 × 7,867,592.80
  4. Step 4: Simplify right side
    13,978,768.48x = 151,776,259,775,607.34
  5. Step 5: Solve for x
    x = 151,776,259,775,607.34/13,978,768.48
  6. Step 6: Final answer
    x = 10,857,627.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.