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Finding the Fourth Proportional to 8,130.56, 12,192.96 and 3,200

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Solution

The fourth proportional to 8,130.56, 12,192.96 and 3,200 is: 4,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.56 : 12,192.96 = 3,200 : x
  2. Step 2: Convert to fraction form
    8,130.56/12,192.96 = 3,200/x
  3. Step 3: Cross multiply
    8,130.56x = 12,192.96 × 3,200
  4. Step 4: Simplify right side
    8,130.56x = 39,017,472
  5. Step 5: Solve for x
    x = 39,017,472/8,130.56
  6. Step 6: Final answer
    x = 4,798.87

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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.