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Finding the Fourth Proportional to 2,962.40, 4,448.40 and 1,992.80

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Solution

The fourth proportional to 2,962.40, 4,448.40 and 1,992.80 is: 2,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.40 : 4,448.40 = 1,992.80 : x
  2. Step 2: Convert to fraction form
    2,962.40/4,448.40 = 1,992.80/x
  3. Step 3: Cross multiply
    2,962.40x = 4,448.40 × 1,992.80
  4. Step 4: Simplify right side
    2,962.40x = 8,864,771.52
  5. Step 5: Solve for x
    x = 8,864,771.52/2,962.40
  6. Step 6: Final answer
    x = 2,992.43

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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.