Home / 1,530.54-2,112.21-867.57

Finding the Fourth Proportional to 1,530.54, 2,112.21 and 867.57

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Solution

The fourth proportional to 1,530.54, 2,112.21 and 867.57 is: 1,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.54 : 2,112.21 = 867.57 : x
  2. Step 2: Convert to fraction form
    1,530.54/2,112.21 = 867.57/x
  3. Step 3: Cross multiply
    1,530.54x = 2,112.21 × 867.57
  4. Step 4: Simplify right side
    1,530.54x = 1,832,490.03
  5. Step 5: Solve for x
    x = 1,832,490.03/1,530.54
  6. Step 6: Final answer
    x = 1,197.28

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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.