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Finding the Fourth Proportional to 1,293.90, 1,940.66 and 1,075.94

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Solution

The fourth proportional to 1,293.90, 1,940.66 and 1,075.94 is: 1,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.90 : 1,940.66 = 1,075.94 : x
  2. Step 2: Convert to fraction form
    1,293.90/1,940.66 = 1,075.94/x
  3. Step 3: Cross multiply
    1,293.90x = 1,940.66 × 1,075.94
  4. Step 4: Simplify right side
    1,293.90x = 2,088,033.72
  5. Step 5: Solve for x
    x = 2,088,033.72/1,293.90
  6. Step 6: Final answer
    x = 1,613.75

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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.