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Finding the Fourth Proportional to 2,840.64, 3,920 and 1,581.64

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Solution

The fourth proportional to 2,840.64, 3,920 and 1,581.64 is: 2,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.64 : 3,920 = 1,581.64 : x
  2. Step 2: Convert to fraction form
    2,840.64/3,920 = 1,581.64/x
  3. Step 3: Cross multiply
    2,840.64x = 3,920 × 1,581.64
  4. Step 4: Simplify right side
    2,840.64x = 6,200,028.80
  5. Step 5: Solve for x
    x = 6,200,028.80/2,840.64
  6. Step 6: Final answer
    x = 2,182.62

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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.