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Finding the Fourth Proportional to 5,443, 7,507.10 and 3,649.88

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Solution

The fourth proportional to 5,443, 7,507.10 and 3,649.88 is: 5,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443 : 7,507.10 = 3,649.88 : x
  2. Step 2: Convert to fraction form
    5,443/7,507.10 = 3,649.88/x
  3. Step 3: Cross multiply
    5,443x = 7,507.10 × 3,649.88
  4. Step 4: Simplify right side
    5,443x = 27,400,014.15
  5. Step 5: Solve for x
    x = 27,400,014.15/5,443
  6. Step 6: Final answer
    x = 5,033.99

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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.