Home / 1,528.94-2,109.78-865.66

Finding the Fourth Proportional to 1,528.94, 2,109.78 and 865.66

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Solution

The fourth proportional to 1,528.94, 2,109.78 and 865.66 is: 1,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.94 : 2,109.78 = 865.66 : x
  2. Step 2: Convert to fraction form
    1,528.94/2,109.78 = 865.66/x
  3. Step 3: Cross multiply
    1,528.94x = 2,109.78 × 865.66
  4. Step 4: Simplify right side
    1,528.94x = 1,826,352.15
  5. Step 5: Solve for x
    x = 1,826,352.15/1,528.94
  6. Step 6: Final answer
    x = 1,194.52

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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.