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Finding the Fourth Proportional to 1,902.57, 2,853.74 and 670.09

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Solution

The fourth proportional to 1,902.57, 2,853.74 and 670.09 is: 1,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.57 : 2,853.74 = 670.09 : x
  2. Step 2: Convert to fraction form
    1,902.57/2,853.74 = 670.09/x
  3. Step 3: Cross multiply
    1,902.57x = 2,853.74 × 670.09
  4. Step 4: Simplify right side
    1,902.57x = 1,912,259.29
  5. Step 5: Solve for x
    x = 1,912,259.29/1,902.57
  6. Step 6: Final answer
    x = 1,005.09

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.