Home / 5,823-8,731.53-1,926

Finding the Fourth Proportional to 5,823, 8,731.53 and 1,926

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Solution

The fourth proportional to 5,823, 8,731.53 and 1,926 is: 2,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 8,731.53 = 1,926 : x
  2. Step 2: Convert to fraction form
    5,823/8,731.53 = 1,926/x
  3. Step 3: Cross multiply
    5,823x = 8,731.53 × 1,926
  4. Step 4: Simplify right side
    5,823x = 16,816,926.78
  5. Step 5: Solve for x
    x = 16,816,926.78/5,823
  6. Step 6: Final answer
    x = 2,888.02

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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.