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Finding the Fourth Proportional to 12,000, 16,552.68 and 7,967.01

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Solution

The fourth proportional to 12,000, 16,552.68 and 7,967.01 is: 10,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 16,552.68 = 7,967.01 : x
  2. Step 2: Convert to fraction form
    12,000/16,552.68 = 7,967.01/x
  3. Step 3: Cross multiply
    12,000x = 16,552.68 × 7,967.01
  4. Step 4: Simplify right side
    12,000x = 131,875,367.09
  5. Step 5: Solve for x
    x = 131,875,367.09/12,000
  6. Step 6: Final answer
    x = 10,989.61

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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.