Home / 4,121.12-6,177.36-1,928

Finding the Fourth Proportional to 4,121.12, 6,177.36 and 1,928

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Solution

The fourth proportional to 4,121.12, 6,177.36 and 1,928 is: 2,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.12 : 6,177.36 = 1,928 : x
  2. Step 2: Convert to fraction form
    4,121.12/6,177.36 = 1,928/x
  3. Step 3: Cross multiply
    4,121.12x = 6,177.36 × 1,928
  4. Step 4: Simplify right side
    4,121.12x = 11,909,950.08
  5. Step 5: Solve for x
    x = 11,909,950.08/4,121.12
  6. Step 6: Final answer
    x = 2,889.98

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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.