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Finding the Fourth Proportional to 3,513.47, 5,270.22 and 1,783.31

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Solution

The fourth proportional to 3,513.47, 5,270.22 and 1,783.31 is: 2,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.47 : 5,270.22 = 1,783.31 : x
  2. Step 2: Convert to fraction form
    3,513.47/5,270.22 = 1,783.31/x
  3. Step 3: Cross multiply
    3,513.47x = 5,270.22 × 1,783.31
  4. Step 4: Simplify right side
    3,513.47x = 9,398,409.68
  5. Step 5: Solve for x
    x = 9,398,409.68/3,513.47
  6. Step 6: Final answer
    x = 2,674.97

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Double scale
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Similar ratio
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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.