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Finding the Fourth Proportional to 6,992.48, 9,640.66 and 5,728.88

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Solution

The fourth proportional to 6,992.48, 9,640.66 and 5,728.88 is: 7,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.48 : 9,640.66 = 5,728.88 : x
  2. Step 2: Convert to fraction form
    6,992.48/9,640.66 = 5,728.88/x
  3. Step 3: Cross multiply
    6,992.48x = 9,640.66 × 5,728.88
  4. Step 4: Simplify right side
    6,992.48x = 55,230,184.26
  5. Step 5: Solve for x
    x = 55,230,184.26/6,992.48
  6. Step 6: Final answer
    x = 7,898.51

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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.