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Finding the Fourth Proportional to 1,267.90, 1,740.39 and 1,124.89

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Solution

The fourth proportional to 1,267.90, 1,740.39 and 1,124.89 is: 1,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.90 : 1,740.39 = 1,124.89 : x
  2. Step 2: Convert to fraction form
    1,267.90/1,740.39 = 1,124.89/x
  3. Step 3: Cross multiply
    1,267.90x = 1,740.39 × 1,124.89
  4. Step 4: Simplify right side
    1,267.90x = 1,957,747.31
  5. Step 5: Solve for x
    x = 1,957,747.31/1,267.90
  6. Step 6: Final answer
    x = 1,544.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.