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Finding the Fourth Proportional to 6,976.89, 9,628.34 and 3,992.49

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Solution

The fourth proportional to 6,976.89, 9,628.34 and 3,992.49 is: 5,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.89 : 9,628.34 = 3,992.49 : x
  2. Step 2: Convert to fraction form
    6,976.89/9,628.34 = 3,992.49/x
  3. Step 3: Cross multiply
    6,976.89x = 9,628.34 × 3,992.49
  4. Step 4: Simplify right side
    6,976.89x = 38,441,031.20
  5. Step 5: Solve for x
    x = 38,441,031.20/6,976.89
  6. Step 6: Final answer
    x = 5,509.77

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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.