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Finding the Fourth Proportional to 1,342.42, 2,010.83 and 1,296

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Solution

The fourth proportional to 1,342.42, 2,010.83 and 1,296 is: 1,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.42 : 2,010.83 = 1,296 : x
  2. Step 2: Convert to fraction form
    1,342.42/2,010.83 = 1,296/x
  3. Step 3: Cross multiply
    1,342.42x = 2,010.83 × 1,296
  4. Step 4: Simplify right side
    1,342.42x = 2,606,029.20
  5. Step 5: Solve for x
    x = 2,606,029.20/1,342.42
  6. Step 6: Final answer
    x = 1,941.29

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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.