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Finding the Fourth Proportional to 1,381.92, 1,907.45 and 1,104.09

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Solution

The fourth proportional to 1,381.92, 1,907.45 and 1,104.09 is: 1,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.92 : 1,907.45 = 1,104.09 : x
  2. Step 2: Convert to fraction form
    1,381.92/1,907.45 = 1,104.09/x
  3. Step 3: Cross multiply
    1,381.92x = 1,907.45 × 1,104.09
  4. Step 4: Simplify right side
    1,381.92x = 2,105,981.41
  5. Step 5: Solve for x
    x = 2,105,981.41/1,381.92
  6. Step 6: Final answer
    x = 1,523.96

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Half scale
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Double scale
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1.5x scale

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.