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Finding the Fourth Proportional to 2,855.34, 3,939.12 and 1,806.75

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Solution

The fourth proportional to 2,855.34, 3,939.12 and 1,806.75 is: 2,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.34 : 3,939.12 = 1,806.75 : x
  2. Step 2: Convert to fraction form
    2,855.34/3,939.12 = 1,806.75/x
  3. Step 3: Cross multiply
    2,855.34x = 3,939.12 × 1,806.75
  4. Step 4: Simplify right side
    2,855.34x = 7,117,005.06
  5. Step 5: Solve for x
    x = 7,117,005.06/2,855.34
  6. Step 6: Final answer
    x = 2,492.52

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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.