Home / 1,584.98-2,185.13-1,187.22

Finding the Fourth Proportional to 1,584.98, 2,185.13 and 1,187.22

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Solution

The fourth proportional to 1,584.98, 2,185.13 and 1,187.22 is: 1,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.98 : 2,185.13 = 1,187.22 : x
  2. Step 2: Convert to fraction form
    1,584.98/2,185.13 = 1,187.22/x
  3. Step 3: Cross multiply
    1,584.98x = 2,185.13 × 1,187.22
  4. Step 4: Simplify right side
    1,584.98x = 2,594,224.10
  5. Step 5: Solve for x
    x = 2,594,224.10/1,584.98
  6. Step 6: Final answer
    x = 1,636.76

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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.