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Finding the Fourth Proportional to 4,675.92, 7,013.88 and 1,938

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Solution

The fourth proportional to 4,675.92, 7,013.88 and 1,938 is: 2,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.92 : 7,013.88 = 1,938 : x
  2. Step 2: Convert to fraction form
    4,675.92/7,013.88 = 1,938/x
  3. Step 3: Cross multiply
    4,675.92x = 7,013.88 × 1,938
  4. Step 4: Simplify right side
    4,675.92x = 13,592,899.44
  5. Step 5: Solve for x
    x = 13,592,899.44/4,675.92
  6. Step 6: Final answer
    x = 2,907

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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.