Home / 1,657.74-2,491.32-1,596.38

Finding the Fourth Proportional to 1,657.74, 2,491.32 and 1,596.38

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Solution

The fourth proportional to 1,657.74, 2,491.32 and 1,596.38 is: 2,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.74 : 2,491.32 = 1,596.38 : x
  2. Step 2: Convert to fraction form
    1,657.74/2,491.32 = 1,596.38/x
  3. Step 3: Cross multiply
    1,657.74x = 2,491.32 × 1,596.38
  4. Step 4: Simplify right side
    1,657.74x = 3,977,093.42
  5. Step 5: Solve for x
    x = 3,977,093.42/1,657.74
  6. Step 6: Final answer
    x = 2,399.11

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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.