Home / 1,572.21-2,164.32-1,198.53

Finding the Fourth Proportional to 1,572.21, 2,164.32 and 1,198.53

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Solution

The fourth proportional to 1,572.21, 2,164.32 and 1,198.53 is: 1,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.21 : 2,164.32 = 1,198.53 : x
  2. Step 2: Convert to fraction form
    1,572.21/2,164.32 = 1,198.53/x
  3. Step 3: Cross multiply
    1,572.21x = 2,164.32 × 1,198.53
  4. Step 4: Simplify right side
    1,572.21x = 2,594,002.45
  5. Step 5: Solve for x
    x = 2,594,002.45/1,572.21
  6. Step 6: Final answer
    x = 1,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.