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Finding the Fourth Proportional to 12,800.88, 17,658.36 and 8,823.96

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Solution

The fourth proportional to 12,800.88, 17,658.36 and 8,823.96 is: 12,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.88 : 17,658.36 = 8,823.96 : x
  2. Step 2: Convert to fraction form
    12,800.88/17,658.36 = 8,823.96/x
  3. Step 3: Cross multiply
    12,800.88x = 17,658.36 × 8,823.96
  4. Step 4: Simplify right side
    12,800.88x = 155,816,662.31
  5. Step 5: Solve for x
    x = 155,816,662.31/12,800.88
  6. Step 6: Final answer
    x = 12,172.34

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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.