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Finding the Fourth Proportional to 5,705.63, 7,873.77 and 3,221.63

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Solution

The fourth proportional to 5,705.63, 7,873.77 and 3,221.63 is: 4,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.63 : 7,873.77 = 3,221.63 : x
  2. Step 2: Convert to fraction form
    5,705.63/7,873.77 = 3,221.63/x
  3. Step 3: Cross multiply
    5,705.63x = 7,873.77 × 3,221.63
  4. Step 4: Simplify right side
    5,705.63x = 25,366,334.28
  5. Step 5: Solve for x
    x = 25,366,334.28/5,705.63
  6. Step 6: Final answer
    x = 4,445.85

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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.