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Finding the Fourth Proportional to 3,953.94, 5,928.84 and 1,977.45

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Solution

The fourth proportional to 3,953.94, 5,928.84 and 1,977.45 is: 2,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.94 : 5,928.84 = 1,977.45 : x
  2. Step 2: Convert to fraction form
    3,953.94/5,928.84 = 1,977.45/x
  3. Step 3: Cross multiply
    3,953.94x = 5,928.84 × 1,977.45
  4. Step 4: Simplify right side
    3,953.94x = 11,723,984.66
  5. Step 5: Solve for x
    x = 11,723,984.66/3,953.94
  6. Step 6: Final answer
    x = 2,965.14

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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.