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Finding the Fourth Proportional to 2,948, 4,069 and 1,689.44

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Solution

The fourth proportional to 2,948, 4,069 and 1,689.44 is: 2,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948 : 4,069 = 1,689.44 : x
  2. Step 2: Convert to fraction form
    2,948/4,069 = 1,689.44/x
  3. Step 3: Cross multiply
    2,948x = 4,069 × 1,689.44
  4. Step 4: Simplify right side
    2,948x = 6,874,331.36
  5. Step 5: Solve for x
    x = 6,874,331.36/2,948
  6. Step 6: Final answer
    x = 2,331.86

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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.