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Finding the Fourth Proportional to 7,174.60, 10,768.86 and 6,780.16

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Solution

The fourth proportional to 7,174.60, 10,768.86 and 6,780.16 is: 10,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.60 : 10,768.86 = 6,780.16 : x
  2. Step 2: Convert to fraction form
    7,174.60/10,768.86 = 6,780.16/x
  3. Step 3: Cross multiply
    7,174.60x = 10,768.86 × 6,780.16
  4. Step 4: Simplify right side
    7,174.60x = 73,014,593.82
  5. Step 5: Solve for x
    x = 73,014,593.82/7,174.60
  6. Step 6: Final answer
    x = 10,176.82

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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.