Home / 1,530.28-2,112.16-867.52

Finding the Fourth Proportional to 1,530.28, 2,112.16 and 867.52

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Solution

The fourth proportional to 1,530.28, 2,112.16 and 867.52 is: 1,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.28 : 2,112.16 = 867.52 : x
  2. Step 2: Convert to fraction form
    1,530.28/2,112.16 = 867.52/x
  3. Step 3: Cross multiply
    1,530.28x = 2,112.16 × 867.52
  4. Step 4: Simplify right side
    1,530.28x = 1,832,341.04
  5. Step 5: Solve for x
    x = 1,832,341.04/1,530.28
  6. Step 6: Final answer
    x = 1,197.39

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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.