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Finding the Fourth Proportional to 2,692, 4,037.70 and 936.84

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Solution

The fourth proportional to 2,692, 4,037.70 and 936.84 is: 1,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692 : 4,037.70 = 936.84 : x
  2. Step 2: Convert to fraction form
    2,692/4,037.70 = 936.84/x
  3. Step 3: Cross multiply
    2,692x = 4,037.70 × 936.84
  4. Step 4: Simplify right side
    2,692x = 3,782,678.87
  5. Step 5: Solve for x
    x = 3,782,678.87/2,692
  6. Step 6: Final answer
    x = 1,405.16

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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.