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Finding the Fourth Proportional to 6,771.72, 10,129.50 and 6,357

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Solution

The fourth proportional to 6,771.72, 10,129.50 and 6,357 is: 9,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.72 : 10,129.50 = 6,357 : x
  2. Step 2: Convert to fraction form
    6,771.72/10,129.50 = 6,357/x
  3. Step 3: Cross multiply
    6,771.72x = 10,129.50 × 6,357
  4. Step 4: Simplify right side
    6,771.72x = 64,393,231.50
  5. Step 5: Solve for x
    x = 64,393,231.50/6,771.72
  6. Step 6: Final answer
    x = 9,509.14

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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.