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Finding the Fourth Proportional to 7,873.28, 11,801.28 and 3,972.32

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Solution

The fourth proportional to 7,873.28, 11,801.28 and 3,972.32 is: 5,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.28 : 11,801.28 = 3,972.32 : x
  2. Step 2: Convert to fraction form
    7,873.28/11,801.28 = 3,972.32/x
  3. Step 3: Cross multiply
    7,873.28x = 11,801.28 × 3,972.32
  4. Step 4: Simplify right side
    7,873.28x = 46,878,460.57
  5. Step 5: Solve for x
    x = 46,878,460.57/7,873.28
  6. Step 6: Final answer
    x = 5,954.12

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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.