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Finding the Fourth Proportional to 6,952.80, 9,591.84 and 4,120.32

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Solution

The fourth proportional to 6,952.80, 9,591.84 and 4,120.32 is: 5,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.80 : 9,591.84 = 4,120.32 : x
  2. Step 2: Convert to fraction form
    6,952.80/9,591.84 = 4,120.32/x
  3. Step 3: Cross multiply
    6,952.80x = 9,591.84 × 4,120.32
  4. Step 4: Simplify right side
    6,952.80x = 39,521,450.19
  5. Step 5: Solve for x
    x = 39,521,450.19/6,952.80
  6. Step 6: Final answer
    x = 5,684.25

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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.