Home / 1,580.82-2,178.80-1,187.16

Finding the Fourth Proportional to 1,580.82, 2,178.80 and 1,187.16

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Solution

The fourth proportional to 1,580.82, 2,178.80 and 1,187.16 is: 1,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.82 : 2,178.80 = 1,187.16 : x
  2. Step 2: Convert to fraction form
    1,580.82/2,178.80 = 1,187.16/x
  3. Step 3: Cross multiply
    1,580.82x = 2,178.80 × 1,187.16
  4. Step 4: Simplify right side
    1,580.82x = 2,586,584.21
  5. Step 5: Solve for x
    x = 2,586,584.21/1,580.82
  6. Step 6: Final answer
    x = 1,636.23

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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.