Home / 1,928-2,889.56-1,607.24

Finding the Fourth Proportional to 1,928, 2,889.56 and 1,607.24

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Solution

The fourth proportional to 1,928, 2,889.56 and 1,607.24 is: 2,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928 : 2,889.56 = 1,607.24 : x
  2. Step 2: Convert to fraction form
    1,928/2,889.56 = 1,607.24/x
  3. Step 3: Cross multiply
    1,928x = 2,889.56 × 1,607.24
  4. Step 4: Simplify right side
    1,928x = 4,644,216.41
  5. Step 5: Solve for x
    x = 4,644,216.41/1,928
  6. Step 6: Final answer
    x = 2,408.83

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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.