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Finding the Fourth Proportional to 5,313.26, 7,978.80 and 3,997.01

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Solution

The fourth proportional to 5,313.26, 7,978.80 and 3,997.01 is: 6,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.26 : 7,978.80 = 3,997.01 : x
  2. Step 2: Convert to fraction form
    5,313.26/7,978.80 = 3,997.01/x
  3. Step 3: Cross multiply
    5,313.26x = 7,978.80 × 3,997.01
  4. Step 4: Simplify right side
    5,313.26x = 31,891,343.39
  5. Step 5: Solve for x
    x = 31,891,343.39/5,313.26
  6. Step 6: Final answer
    x = 6,002.22

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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.