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Finding the Fourth Proportional to 2,133.81, 2,942.46 and 1,387.80

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Solution

The fourth proportional to 2,133.81, 2,942.46 and 1,387.80 is: 1,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.81 : 2,942.46 = 1,387.80 : x
  2. Step 2: Convert to fraction form
    2,133.81/2,942.46 = 1,387.80/x
  3. Step 3: Cross multiply
    2,133.81x = 2,942.46 × 1,387.80
  4. Step 4: Simplify right side
    2,133.81x = 4,083,545.99
  5. Step 5: Solve for x
    x = 4,083,545.99/2,133.81
  6. Step 6: Final answer
    x = 1,913.73

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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.