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Finding the Fourth Proportional to 2,026, 2,796.09 and 1,239.90

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Solution

The fourth proportional to 2,026, 2,796.09 and 1,239.90 is: 1,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026 : 2,796.09 = 1,239.90 : x
  2. Step 2: Convert to fraction form
    2,026/2,796.09 = 1,239.90/x
  3. Step 3: Cross multiply
    2,026x = 2,796.09 × 1,239.90
  4. Step 4: Simplify right side
    2,026x = 3,466,851.81
  5. Step 5: Solve for x
    x = 3,466,851.81/2,026
  6. Step 6: Final answer
    x = 1,711.18

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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.