Home / 1,530.87-2,112.62-867.75

Finding the Fourth Proportional to 1,530.87, 2,112.62 and 867.75

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Solution

The fourth proportional to 1,530.87, 2,112.62 and 867.75 is: 1,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.87 : 2,112.62 = 867.75 : x
  2. Step 2: Convert to fraction form
    1,530.87/2,112.62 = 867.75/x
  3. Step 3: Cross multiply
    1,530.87x = 2,112.62 × 867.75
  4. Step 4: Simplify right side
    1,530.87x = 1,833,221.67
  5. Step 5: Solve for x
    x = 1,833,221.67/1,530.87
  6. Step 6: Final answer
    x = 1,197.50

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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.