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Finding the Fourth Proportional to 6,666.50, 9,997.86 and 2,766.08

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Solution

The fourth proportional to 6,666.50, 9,997.86 and 2,766.08 is: 4,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.50 : 9,997.86 = 2,766.08 : x
  2. Step 2: Convert to fraction form
    6,666.50/9,997.86 = 2,766.08/x
  3. Step 3: Cross multiply
    6,666.50x = 9,997.86 × 2,766.08
  4. Step 4: Simplify right side
    6,666.50x = 27,654,880.59
  5. Step 5: Solve for x
    x = 27,654,880.59/6,666.50
  6. Step 6: Final answer
    x = 4,148.34

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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.