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Finding the Fourth Proportional to 2,967.89, 4,448.63 and 1,928.64

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Solution

The fourth proportional to 2,967.89, 4,448.63 and 1,928.64 is: 2,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.89 : 4,448.63 = 1,928.64 : x
  2. Step 2: Convert to fraction form
    2,967.89/4,448.63 = 1,928.64/x
  3. Step 3: Cross multiply
    2,967.89x = 4,448.63 × 1,928.64
  4. Step 4: Simplify right side
    2,967.89x = 8,579,780.24
  5. Step 5: Solve for x
    x = 8,579,780.24/2,967.89
  6. Step 6: Final answer
    x = 2,890.87

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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.