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Finding the Fourth Proportional to 12,803.68, 17,658.84 and 8,823.88

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Solution

The fourth proportional to 12,803.68, 17,658.84 and 8,823.88 is: 12,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.68 : 17,658.84 = 8,823.88 : x
  2. Step 2: Convert to fraction form
    12,803.68/17,658.84 = 8,823.88/x
  3. Step 3: Cross multiply
    12,803.68x = 17,658.84 × 8,823.88
  4. Step 4: Simplify right side
    12,803.68x = 155,819,485.10
  5. Step 5: Solve for x
    x = 155,819,485.10/12,803.68
  6. Step 6: Final answer
    x = 12,169.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.