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Finding the Fourth Proportional to 6,657.80, 9,983.50 and 3,144.88

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Solution

The fourth proportional to 6,657.80, 9,983.50 and 3,144.88 is: 4,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.80 : 9,983.50 = 3,144.88 : x
  2. Step 2: Convert to fraction form
    6,657.80/9,983.50 = 3,144.88/x
  3. Step 3: Cross multiply
    6,657.80x = 9,983.50 × 3,144.88
  4. Step 4: Simplify right side
    6,657.80x = 31,396,875.63
  5. Step 5: Solve for x
    x = 31,396,875.63/6,657.80
  6. Step 6: Final answer
    x = 4,715.81

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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.