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Finding the Fourth Proportional to 6,507.40, 9,768.30 and 3,591.40

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Solution

The fourth proportional to 6,507.40, 9,768.30 and 3,591.40 is: 5,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.40 : 9,768.30 = 3,591.40 : x
  2. Step 2: Convert to fraction form
    6,507.40/9,768.30 = 3,591.40/x
  3. Step 3: Cross multiply
    6,507.40x = 9,768.30 × 3,591.40
  4. Step 4: Simplify right side
    6,507.40x = 35,081,872.62
  5. Step 5: Solve for x
    x = 35,081,872.62/6,507.40
  6. Step 6: Final answer
    x = 5,391.07

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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.