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Finding the Fourth Proportional to 12,756.60, 19,147.01 and 7,835.85

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Solution

The fourth proportional to 12,756.60, 19,147.01 and 7,835.85 is: 11,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.60 : 19,147.01 = 7,835.85 : x
  2. Step 2: Convert to fraction form
    12,756.60/19,147.01 = 7,835.85/x
  3. Step 3: Cross multiply
    12,756.60x = 19,147.01 × 7,835.85
  4. Step 4: Simplify right side
    12,756.60x = 150,033,059.13
  5. Step 5: Solve for x
    x = 150,033,059.13/12,756.60
  6. Step 6: Final answer
    x = 11,761.21

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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.