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Finding the Fourth Proportional to 3,777.51, 5,666.84 and 1,927.61

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Solution

The fourth proportional to 3,777.51, 5,666.84 and 1,927.61 is: 2,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.51 : 5,666.84 = 1,927.61 : x
  2. Step 2: Convert to fraction form
    3,777.51/5,666.84 = 1,927.61/x
  3. Step 3: Cross multiply
    3,777.51x = 5,666.84 × 1,927.61
  4. Step 4: Simplify right side
    3,777.51x = 10,923,457.45
  5. Step 5: Solve for x
    x = 10,923,457.45/3,777.51
  6. Step 6: Final answer
    x = 2,891.71

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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.