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Finding the Fourth Proportional to 3,958, 5,928.08 and 2,971.92

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Solution

The fourth proportional to 3,958, 5,928.08 and 2,971.92 is: 4,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958 : 5,928.08 = 2,971.92 : x
  2. Step 2: Convert to fraction form
    3,958/5,928.08 = 2,971.92/x
  3. Step 3: Cross multiply
    3,958x = 5,928.08 × 2,971.92
  4. Step 4: Simplify right side
    3,958x = 17,617,779.51
  5. Step 5: Solve for x
    x = 17,617,779.51/3,958
  6. Step 6: Final answer
    x = 4,451.18

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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.