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Finding the Fourth Proportional to 7,205, 9,942.90 and 3,893

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Solution

The fourth proportional to 7,205, 9,942.90 and 3,893 is: 5,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205 : 9,942.90 = 3,893 : x
  2. Step 2: Convert to fraction form
    7,205/9,942.90 = 3,893/x
  3. Step 3: Cross multiply
    7,205x = 9,942.90 × 3,893
  4. Step 4: Simplify right side
    7,205x = 38,707,709.70
  5. Step 5: Solve for x
    x = 38,707,709.70/7,205
  6. Step 6: Final answer
    x = 5,372.34

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1.5x scale

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.