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Finding the Fourth Proportional to 3,006.66, 4,147.66 and 2,011.98

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Solution

The fourth proportional to 3,006.66, 4,147.66 and 2,011.98 is: 2,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.66 : 4,147.66 = 2,011.98 : x
  2. Step 2: Convert to fraction form
    3,006.66/4,147.66 = 2,011.98/x
  3. Step 3: Cross multiply
    3,006.66x = 4,147.66 × 2,011.98
  4. Step 4: Simplify right side
    3,006.66x = 8,345,008.97
  5. Step 5: Solve for x
    x = 8,345,008.97/3,006.66
  6. Step 6: Final answer
    x = 2,775.51

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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.