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Finding the Fourth Proportional to 2,044, 2,820.80 and 1,216.48

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Solution

The fourth proportional to 2,044, 2,820.80 and 1,216.48 is: 1,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044 : 2,820.80 = 1,216.48 : x
  2. Step 2: Convert to fraction form
    2,044/2,820.80 = 1,216.48/x
  3. Step 3: Cross multiply
    2,044x = 2,820.80 × 1,216.48
  4. Step 4: Simplify right side
    2,044x = 3,431,446.78
  5. Step 5: Solve for x
    x = 3,431,446.78/2,044
  6. Step 6: Final answer
    x = 1,678.79

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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.