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Finding the Fourth Proportional to 7,996.92, 12,000.78 and 2,802.84

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Solution

The fourth proportional to 7,996.92, 12,000.78 and 2,802.84 is: 4,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.92 : 12,000.78 = 2,802.84 : x
  2. Step 2: Convert to fraction form
    7,996.92/12,000.78 = 2,802.84/x
  3. Step 3: Cross multiply
    7,996.92x = 12,000.78 × 2,802.84
  4. Step 4: Simplify right side
    7,996.92x = 33,636,266.22
  5. Step 5: Solve for x
    x = 33,636,266.22/7,996.92
  6. Step 6: Final answer
    x = 4,206.15

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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.