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Finding the Fourth Proportional to 2,072.92, 2,860.90 and 1,188.55

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Solution

The fourth proportional to 2,072.92, 2,860.90 and 1,188.55 is: 1,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.92 : 2,860.90 = 1,188.55 : x
  2. Step 2: Convert to fraction form
    2,072.92/2,860.90 = 1,188.55/x
  3. Step 3: Cross multiply
    2,072.92x = 2,860.90 × 1,188.55
  4. Step 4: Simplify right side
    2,072.92x = 3,400,325.67
  5. Step 5: Solve for x
    x = 3,400,325.67/2,072.92
  6. Step 6: Final answer
    x = 1,640.36

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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.