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Finding the Fourth Proportional to 8,292.63, 12,431.12 and 4,128.70

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Solution

The fourth proportional to 8,292.63, 12,431.12 and 4,128.70 is: 6,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.63 : 12,431.12 = 4,128.70 : x
  2. Step 2: Convert to fraction form
    8,292.63/12,431.12 = 4,128.70/x
  3. Step 3: Cross multiply
    8,292.63x = 12,431.12 × 4,128.70
  4. Step 4: Simplify right side
    8,292.63x = 51,324,302.99
  5. Step 5: Solve for x
    x = 51,324,302.99/8,292.63
  6. Step 6: Final answer
    x = 6,189.15

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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.