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Finding the Fourth Proportional to 7,999.92, 12,005.28 and 2,805.84

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Solution

The fourth proportional to 7,999.92, 12,005.28 and 2,805.84 is: 4,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.92 : 12,005.28 = 2,805.84 : x
  2. Step 2: Convert to fraction form
    7,999.92/12,005.28 = 2,805.84/x
  3. Step 3: Cross multiply
    7,999.92x = 12,005.28 × 2,805.84
  4. Step 4: Simplify right side
    7,999.92x = 33,684,894.84
  5. Step 5: Solve for x
    x = 33,684,894.84/7,999.92
  6. Step 6: Final answer
    x = 4,210.65

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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.