Home / 1,649.72-2,477.70-1,583.24

Finding the Fourth Proportional to 1,649.72, 2,477.70 and 1,583.24

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Solution

The fourth proportional to 1,649.72, 2,477.70 and 1,583.24 is: 2,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.72 : 2,477.70 = 1,583.24 : x
  2. Step 2: Convert to fraction form
    1,649.72/2,477.70 = 1,583.24/x
  3. Step 3: Cross multiply
    1,649.72x = 2,477.70 × 1,583.24
  4. Step 4: Simplify right side
    1,649.72x = 3,922,793.75
  5. Step 5: Solve for x
    x = 3,922,793.75/1,649.72
  6. Step 6: Final answer
    x = 2,377.85

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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.