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Finding the Fourth Proportional to 1,640.08, 2,263.08 and 1,109.44

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Solution

The fourth proportional to 1,640.08, 2,263.08 and 1,109.44 is: 1,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.08 : 2,263.08 = 1,109.44 : x
  2. Step 2: Convert to fraction form
    1,640.08/2,263.08 = 1,109.44/x
  3. Step 3: Cross multiply
    1,640.08x = 2,263.08 × 1,109.44
  4. Step 4: Simplify right side
    1,640.08x = 2,510,751.48
  5. Step 5: Solve for x
    x = 2,510,751.48/1,640.08
  6. Step 6: Final answer
    x = 1,530.87

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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.