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Finding the Fourth Proportional to 7,983.84, 11,983.44 and 7,480.80

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Solution

The fourth proportional to 7,983.84, 11,983.44 and 7,480.80 is: 11,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.84 : 11,983.44 = 7,480.80 : x
  2. Step 2: Convert to fraction form
    7,983.84/11,983.44 = 7,480.80/x
  3. Step 3: Cross multiply
    7,983.84x = 11,983.44 × 7,480.80
  4. Step 4: Simplify right side
    7,983.84x = 89,645,717.95
  5. Step 5: Solve for x
    x = 89,645,717.95/7,983.84
  6. Step 6: Final answer
    x = 11,228.40

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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.