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Finding the Fourth Proportional to 2,926, 4,389.76 and 874

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Solution

The fourth proportional to 2,926, 4,389.76 and 874 is: 1,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926 : 4,389.76 = 874 : x
  2. Step 2: Convert to fraction form
    2,926/4,389.76 = 874/x
  3. Step 3: Cross multiply
    2,926x = 4,389.76 × 874
  4. Step 4: Simplify right side
    2,926x = 3,836,650.24
  5. Step 5: Solve for x
    x = 3,836,650.24/2,926
  6. Step 6: Final answer
    x = 1,311.23

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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.