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Finding the Fourth Proportional to 6,657.72, 9,983.34 and 3,192

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Solution

The fourth proportional to 6,657.72, 9,983.34 and 3,192 is: 4,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.72 : 9,983.34 = 3,192 : x
  2. Step 2: Convert to fraction form
    6,657.72/9,983.34 = 3,192/x
  3. Step 3: Cross multiply
    6,657.72x = 9,983.34 × 3,192
  4. Step 4: Simplify right side
    6,657.72x = 31,866,821.28
  5. Step 5: Solve for x
    x = 31,866,821.28/6,657.72
  6. Step 6: Final answer
    x = 4,786.45

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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.