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Finding the Fourth Proportional to 3,617.91, 4,992.68 and 2,126.00

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Solution

The fourth proportional to 3,617.91, 4,992.68 and 2,126.00 is: 2,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.91 : 4,992.68 = 2,126.00 : x
  2. Step 2: Convert to fraction form
    3,617.91/4,992.68 = 2,126.00/x
  3. Step 3: Cross multiply
    3,617.91x = 4,992.68 × 2,126.00
  4. Step 4: Simplify right side
    3,617.91x = 10,614,402.09
  5. Step 5: Solve for x
    x = 10,614,402.09/3,617.91
  6. Step 6: Final answer
    x = 2,933.85

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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.