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Finding the Fourth Proportional to 8,803.68, 13,211 and 7,983.44

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Solution

The fourth proportional to 8,803.68, 13,211 and 7,983.44 is: 11,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.68 : 13,211 = 7,983.44 : x
  2. Step 2: Convert to fraction form
    8,803.68/13,211 = 7,983.44/x
  3. Step 3: Cross multiply
    8,803.68x = 13,211 × 7,983.44
  4. Step 4: Simplify right side
    8,803.68x = 105,469,225.84
  5. Step 5: Solve for x
    x = 105,469,225.84/8,803.68
  6. Step 6: Final answer
    x = 11,980.13

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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.