Home / 1,585.09-2,187.37-867.24

Finding the Fourth Proportional to 1,585.09, 2,187.37 and 867.24

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Solution

The fourth proportional to 1,585.09, 2,187.37 and 867.24 is: 1,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.09 : 2,187.37 = 867.24 : x
  2. Step 2: Convert to fraction form
    1,585.09/2,187.37 = 867.24/x
  3. Step 3: Cross multiply
    1,585.09x = 2,187.37 × 867.24
  4. Step 4: Simplify right side
    1,585.09x = 1,896,974.76
  5. Step 5: Solve for x
    x = 1,896,974.76/1,585.09
  6. Step 6: Final answer
    x = 1,196.76

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1.5x scale

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.