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Finding the Fourth Proportional to 7,865.00, 11,804.78 and 3,972.14

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Solution

The fourth proportional to 7,865.00, 11,804.78 and 3,972.14 is: 5,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.00 : 11,804.78 = 3,972.14 : x
  2. Step 2: Convert to fraction form
    7,865.00/11,804.78 = 3,972.14/x
  3. Step 3: Cross multiply
    7,865.00x = 11,804.78 × 3,972.14
  4. Step 4: Simplify right side
    7,865.00x = 46,890,189.74
  5. Step 5: Solve for x
    x = 46,890,189.74/7,865.00
  6. Step 6: Final answer
    x = 5,961.88

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1.5x scale

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.