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Finding the Fourth Proportional to 3,983, 5,499.78 and 3,453.80

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Solution

The fourth proportional to 3,983, 5,499.78 and 3,453.80 is: 4,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983 : 5,499.78 = 3,453.80 : x
  2. Step 2: Convert to fraction form
    3,983/5,499.78 = 3,453.80/x
  3. Step 3: Cross multiply
    3,983x = 5,499.78 × 3,453.80
  4. Step 4: Simplify right side
    3,983x = 18,995,140.16
  5. Step 5: Solve for x
    x = 18,995,140.16/3,983
  6. Step 6: Final answer
    x = 4,769.05

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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.