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Finding the Fourth Proportional to 5,317.75, 7,321.75 and 4,519.50

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Solution

The fourth proportional to 5,317.75, 7,321.75 and 4,519.50 is: 6,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.75 : 7,321.75 = 4,519.50 : x
  2. Step 2: Convert to fraction form
    5,317.75/7,321.75 = 4,519.50/x
  3. Step 3: Cross multiply
    5,317.75x = 7,321.75 × 4,519.50
  4. Step 4: Simplify right side
    5,317.75x = 33,090,649.13
  5. Step 5: Solve for x
    x = 33,090,649.13/5,317.75
  6. Step 6: Final answer
    x = 6,222.68

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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.