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Finding the Fourth Proportional to 2,012.22, 2,776.80 and 1,128

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Solution

The fourth proportional to 2,012.22, 2,776.80 and 1,128 is: 1,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.22 : 2,776.80 = 1,128 : x
  2. Step 2: Convert to fraction form
    2,012.22/2,776.80 = 1,128/x
  3. Step 3: Cross multiply
    2,012.22x = 2,776.80 × 1,128
  4. Step 4: Simplify right side
    2,012.22x = 3,132,230.40
  5. Step 5: Solve for x
    x = 3,132,230.40/2,012.22
  6. Step 6: Final answer
    x = 1,556.60

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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.