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Finding the Fourth Proportional to 5,147.75, 7,100.13 and 3,259.64

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Solution

The fourth proportional to 5,147.75, 7,100.13 and 3,259.64 is: 4,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.75 : 7,100.13 = 3,259.64 : x
  2. Step 2: Convert to fraction form
    5,147.75/7,100.13 = 3,259.64/x
  3. Step 3: Cross multiply
    5,147.75x = 7,100.13 × 3,259.64
  4. Step 4: Simplify right side
    5,147.75x = 23,143,832.25
  5. Step 5: Solve for x
    x = 23,143,832.25/5,147.75
  6. Step 6: Final answer
    x = 4,495.92

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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.