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Finding the Fourth Proportional to 2,883.92, 3,980.10 and 1,765.60

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Solution

The fourth proportional to 2,883.92, 3,980.10 and 1,765.60 is: 2,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.92 : 3,980.10 = 1,765.60 : x
  2. Step 2: Convert to fraction form
    2,883.92/3,980.10 = 1,765.60/x
  3. Step 3: Cross multiply
    2,883.92x = 3,980.10 × 1,765.60
  4. Step 4: Simplify right side
    2,883.92x = 7,027,244.66
  5. Step 5: Solve for x
    x = 7,027,244.66/2,883.92
  6. Step 6: Final answer
    x = 2,436.70

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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.