Home / 1,745.86-2,617.69-821.02

Finding the Fourth Proportional to 1,745.86, 2,617.69 and 821.02

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Solution

The fourth proportional to 1,745.86, 2,617.69 and 821.02 is: 1,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.86 : 2,617.69 = 821.02 : x
  2. Step 2: Convert to fraction form
    1,745.86/2,617.69 = 821.02/x
  3. Step 3: Cross multiply
    1,745.86x = 2,617.69 × 821.02
  4. Step 4: Simplify right side
    1,745.86x = 2,149,175.84
  5. Step 5: Solve for x
    x = 2,149,175.84/1,745.86
  6. Step 6: Final answer
    x = 1,231.01

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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.