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Finding the Fourth Proportional to 6,747, 10,120.48 and 5,189.78

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Solution

The fourth proportional to 6,747, 10,120.48 and 5,189.78 is: 7,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747 : 10,120.48 = 5,189.78 : x
  2. Step 2: Convert to fraction form
    6,747/10,120.48 = 5,189.78/x
  3. Step 3: Cross multiply
    6,747x = 10,120.48 × 5,189.78
  4. Step 4: Simplify right side
    6,747x = 52,523,064.69
  5. Step 5: Solve for x
    x = 52,523,064.69/6,747
  6. Step 6: Final answer
    x = 7,784.65

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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.