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Finding the Fourth Proportional to 12,751.60, 19,102.50 and 8,355.73

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Solution

The fourth proportional to 12,751.60, 19,102.50 and 8,355.73 is: 12,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.60 : 19,102.50 = 8,355.73 : x
  2. Step 2: Convert to fraction form
    12,751.60/19,102.50 = 8,355.73/x
  3. Step 3: Cross multiply
    12,751.60x = 19,102.50 × 8,355.73
  4. Step 4: Simplify right side
    12,751.60x = 159,615,332.33
  5. Step 5: Solve for x
    x = 159,615,332.33/12,751.60
  6. Step 6: Final answer
    x = 12,517.28

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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.