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Finding the Fourth Proportional to 5,131.33, 7,703.37 and 5,107.64

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Solution

The fourth proportional to 5,131.33, 7,703.37 and 5,107.64 is: 7,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.33 : 7,703.37 = 5,107.64 : x
  2. Step 2: Convert to fraction form
    5,131.33/7,703.37 = 5,107.64/x
  3. Step 3: Cross multiply
    5,131.33x = 7,703.37 × 5,107.64
  4. Step 4: Simplify right side
    5,131.33x = 39,346,002.23
  5. Step 5: Solve for x
    x = 39,346,002.23/5,131.33
  6. Step 6: Final answer
    x = 7,667.80

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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.