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Finding the Fourth Proportional to 8,192.76, 12,289.12 and 2,720.76

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Solution

The fourth proportional to 8,192.76, 12,289.12 and 2,720.76 is: 4,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.76 : 12,289.12 = 2,720.76 : x
  2. Step 2: Convert to fraction form
    8,192.76/12,289.12 = 2,720.76/x
  3. Step 3: Cross multiply
    8,192.76x = 12,289.12 × 2,720.76
  4. Step 4: Simplify right side
    8,192.76x = 33,435,746.13
  5. Step 5: Solve for x
    x = 33,435,746.13/8,192.76
  6. Step 6: Final answer
    x = 4,081.13

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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.