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Finding the Fourth Proportional to 8,129.87, 12,174.90 and 6,715.63

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Solution

The fourth proportional to 8,129.87, 12,174.90 and 6,715.63 is: 10,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.87 : 12,174.90 = 6,715.63 : x
  2. Step 2: Convert to fraction form
    8,129.87/12,174.90 = 6,715.63/x
  3. Step 3: Cross multiply
    8,129.87x = 12,174.90 × 6,715.63
  4. Step 4: Simplify right side
    8,129.87x = 81,762,113.72
  5. Step 5: Solve for x
    x = 81,762,113.72/8,129.87
  6. Step 6: Final answer
    x = 10,057.01

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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.