Home / 1,926.80-2,661.81-1,538

Finding the Fourth Proportional to 1,926.80, 2,661.81 and 1,538

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Solution

The fourth proportional to 1,926.80, 2,661.81 and 1,538 is: 2,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.80 : 2,661.81 = 1,538 : x
  2. Step 2: Convert to fraction form
    1,926.80/2,661.81 = 1,538/x
  3. Step 3: Cross multiply
    1,926.80x = 2,661.81 × 1,538
  4. Step 4: Simplify right side
    1,926.80x = 4,093,863.78
  5. Step 5: Solve for x
    x = 4,093,863.78/1,926.80
  6. Step 6: Final answer
    x = 2,124.70

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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.