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Finding the Fourth Proportional to 3,952.40, 5,928.90 and 1,178.86

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Solution

The fourth proportional to 3,952.40, 5,928.90 and 1,178.86 is: 1,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.40 : 5,928.90 = 1,178.86 : x
  2. Step 2: Convert to fraction form
    3,952.40/5,928.90 = 1,178.86/x
  3. Step 3: Cross multiply
    3,952.40x = 5,928.90 × 1,178.86
  4. Step 4: Simplify right side
    3,952.40x = 6,989,313.41
  5. Step 5: Solve for x
    x = 6,989,313.41/3,952.40
  6. Step 6: Final answer
    x = 1,768.37

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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.