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Finding the Fourth Proportional to 2,053.01, 3,080.77 and 820.26

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Solution

The fourth proportional to 2,053.01, 3,080.77 and 820.26 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.01 : 3,080.77 = 820.26 : x
  2. Step 2: Convert to fraction form
    2,053.01/3,080.77 = 820.26/x
  3. Step 3: Cross multiply
    2,053.01x = 3,080.77 × 820.26
  4. Step 4: Simplify right side
    2,053.01x = 2,527,030.35
  5. Step 5: Solve for x
    x = 2,527,030.35/2,053.01
  6. Step 6: Final answer
    x = 1,230.89

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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.