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Finding the Fourth Proportional to 6,129.75, 8,459.78 and 3,645.75

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Solution

The fourth proportional to 6,129.75, 8,459.78 and 3,645.75 is: 5,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.75 : 8,459.78 = 3,645.75 : x
  2. Step 2: Convert to fraction form
    6,129.75/8,459.78 = 3,645.75/x
  3. Step 3: Cross multiply
    6,129.75x = 8,459.78 × 3,645.75
  4. Step 4: Simplify right side
    6,129.75x = 30,842,224.71
  5. Step 5: Solve for x
    x = 30,842,224.71/6,129.75
  6. Step 6: Final answer
    x = 5,031.56

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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.