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Finding the Fourth Proportional to 3,914.24, 5,871.47 and 992.78

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Solution

The fourth proportional to 3,914.24, 5,871.47 and 992.78 is: 1,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.24 : 5,871.47 = 992.78 : x
  2. Step 2: Convert to fraction form
    3,914.24/5,871.47 = 992.78/x
  3. Step 3: Cross multiply
    3,914.24x = 5,871.47 × 992.78
  4. Step 4: Simplify right side
    3,914.24x = 5,829,043.67
  5. Step 5: Solve for x
    x = 5,829,043.67/3,914.24
  6. Step 6: Final answer
    x = 1,489.19

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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.