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Finding the Fourth Proportional to 1,992.40, 2,751.12 and 1,782.20

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Solution

The fourth proportional to 1,992.40, 2,751.12 and 1,782.20 is: 2,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.40 : 2,751.12 = 1,782.20 : x
  2. Step 2: Convert to fraction form
    1,992.40/2,751.12 = 1,782.20/x
  3. Step 3: Cross multiply
    1,992.40x = 2,751.12 × 1,782.20
  4. Step 4: Simplify right side
    1,992.40x = 4,903,046.06
  5. Step 5: Solve for x
    x = 4,903,046.06/1,992.40
  6. Step 6: Final answer
    x = 2,460.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.