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Finding the Fourth Proportional to 2,757.78, 4,135.59 and 1,026

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Solution

The fourth proportional to 2,757.78, 4,135.59 and 1,026 is: 1,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 4,135.59 = 1,026 : x
  2. Step 2: Convert to fraction form
    2,757.78/4,135.59 = 1,026/x
  3. Step 3: Cross multiply
    2,757.78x = 4,135.59 × 1,026
  4. Step 4: Simplify right side
    2,757.78x = 4,243,115.34
  5. Step 5: Solve for x
    x = 4,243,115.34/2,757.78
  6. Step 6: Final answer
    x = 1,538.60

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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.