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Finding the Fourth Proportional to 2,124.11, 2,931 and 1,338

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Solution

The fourth proportional to 2,124.11, 2,931 and 1,338 is: 1,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.11 : 2,931 = 1,338 : x
  2. Step 2: Convert to fraction form
    2,124.11/2,931 = 1,338/x
  3. Step 3: Cross multiply
    2,124.11x = 2,931 × 1,338
  4. Step 4: Simplify right side
    2,124.11x = 3,921,678
  5. Step 5: Solve for x
    x = 3,921,678/2,124.11
  6. Step 6: Final answer
    x = 1,846.27

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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.