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Finding the Fourth Proportional to 1,932.40, 2,893.20 and 1,932.40

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Solution

The fourth proportional to 1,932.40, 2,893.20 and 1,932.40 is: 2,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.40 : 2,893.20 = 1,932.40 : x
  2. Step 2: Convert to fraction form
    1,932.40/2,893.20 = 1,932.40/x
  3. Step 3: Cross multiply
    1,932.40x = 2,893.20 × 1,932.40
  4. Step 4: Simplify right side
    1,932.40x = 5,590,819.68
  5. Step 5: Solve for x
    x = 5,590,819.68/1,932.40
  6. Step 6: Final answer
    x = 2,893.20

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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.