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Finding the Fourth Proportional to 19,871.86, 29,807.77 and 7,391.60

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Solution

The fourth proportional to 19,871.86, 29,807.77 and 7,391.60 is: 11,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.86 : 29,807.77 = 7,391.60 : x
  2. Step 2: Convert to fraction form
    19,871.86/29,807.77 = 7,391.60/x
  3. Step 3: Cross multiply
    19,871.86x = 29,807.77 × 7,391.60
  4. Step 4: Simplify right side
    19,871.86x = 220,327,112.73
  5. Step 5: Solve for x
    x = 220,327,112.73/19,871.86
  6. Step 6: Final answer
    x = 11,087.39

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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.