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Finding the Fourth Proportional to 7,864.87, 11,804.60 and 3,972.01

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Solution

The fourth proportional to 7,864.87, 11,804.60 and 3,972.01 is: 5,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.87 : 11,804.60 = 3,972.01 : x
  2. Step 2: Convert to fraction form
    7,864.87/11,804.60 = 3,972.01/x
  3. Step 3: Cross multiply
    7,864.87x = 11,804.60 × 3,972.01
  4. Step 4: Simplify right side
    7,864.87x = 46,887,969.39
  5. Step 5: Solve for x
    x = 46,887,969.39/7,864.87
  6. Step 6: Final answer
    x = 5,961.70

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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.