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Finding the Fourth Proportional to 1,756.90, 2,636.97 and 1,270.90

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Solution

The fourth proportional to 1,756.90, 2,636.97 and 1,270.90 is: 1,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.90 : 2,636.97 = 1,270.90 : x
  2. Step 2: Convert to fraction form
    1,756.90/2,636.97 = 1,270.90/x
  3. Step 3: Cross multiply
    1,756.90x = 2,636.97 × 1,270.90
  4. Step 4: Simplify right side
    1,756.90x = 3,351,325.17
  5. Step 5: Solve for x
    x = 3,351,325.17/1,756.90
  6. Step 6: Final answer
    x = 1,907.52

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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.