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Finding the Fourth Proportional to 2,999, 4,138.62 and 1,757

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Solution

The fourth proportional to 2,999, 4,138.62 and 1,757 is: 2,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999 : 4,138.62 = 1,757 : x
  2. Step 2: Convert to fraction form
    2,999/4,138.62 = 1,757/x
  3. Step 3: Cross multiply
    2,999x = 4,138.62 × 1,757
  4. Step 4: Simplify right side
    2,999x = 7,271,555.34
  5. Step 5: Solve for x
    x = 7,271,555.34/2,999
  6. Step 6: Final answer
    x = 2,424.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.