Home / 3,884-5,826.80-1,575.52

Finding the Fourth Proportional to 3,884, 5,826.80 and 1,575.52

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Solution

The fourth proportional to 3,884, 5,826.80 and 1,575.52 is: 2,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 5,826.80 = 1,575.52 : x
  2. Step 2: Convert to fraction form
    3,884/5,826.80 = 1,575.52/x
  3. Step 3: Cross multiply
    3,884x = 5,826.80 × 1,575.52
  4. Step 4: Simplify right side
    3,884x = 9,180,239.94
  5. Step 5: Solve for x
    x = 9,180,239.94/3,884
  6. Step 6: Final answer
    x = 2,363.60

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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.