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Finding the Fourth Proportional to 1,528.91, 2,109.99 and 865.74

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Solution

The fourth proportional to 1,528.91, 2,109.99 and 865.74 is: 1,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.91 : 2,109.99 = 865.74 : x
  2. Step 2: Convert to fraction form
    1,528.91/2,109.99 = 865.74/x
  3. Step 3: Cross multiply
    1,528.91x = 2,109.99 × 865.74
  4. Step 4: Simplify right side
    1,528.91x = 1,826,702.74
  5. Step 5: Solve for x
    x = 1,826,702.74/1,528.91
  6. Step 6: Final answer
    x = 1,194.77

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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.