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Finding the Fourth Proportional to 2,138, 2,951.88 and 1,641.92

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Solution

The fourth proportional to 2,138, 2,951.88 and 1,641.92 is: 2,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 2,951.88 = 1,641.92 : x
  2. Step 2: Convert to fraction form
    2,138/2,951.88 = 1,641.92/x
  3. Step 3: Cross multiply
    2,138x = 2,951.88 × 1,641.92
  4. Step 4: Simplify right side
    2,138x = 4,846,750.81
  5. Step 5: Solve for x
    x = 4,846,750.81/2,138
  6. Step 6: Final answer
    x = 2,266.96

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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.