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Finding the Fourth Proportional to 7,125.28, 9,832.50 and 3,980.86

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Solution

The fourth proportional to 7,125.28, 9,832.50 and 3,980.86 is: 5,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.28 : 9,832.50 = 3,980.86 : x
  2. Step 2: Convert to fraction form
    7,125.28/9,832.50 = 3,980.86/x
  3. Step 3: Cross multiply
    7,125.28x = 9,832.50 × 3,980.86
  4. Step 4: Simplify right side
    7,125.28x = 39,141,805.95
  5. Step 5: Solve for x
    x = 39,141,805.95/7,125.28
  6. Step 6: Final answer
    x = 5,493.37

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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.