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Finding the Fourth Proportional to 15,210, 20,989.08 and 8,922

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Solution

The fourth proportional to 15,210, 20,989.08 and 8,922 is: 12,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210 : 20,989.08 = 8,922 : x
  2. Step 2: Convert to fraction form
    15,210/20,989.08 = 8,922/x
  3. Step 3: Cross multiply
    15,210x = 20,989.08 × 8,922
  4. Step 4: Simplify right side
    15,210x = 187,264,571.76
  5. Step 5: Solve for x
    x = 187,264,571.76/15,210
  6. Step 6: Final answer
    x = 12,311.94

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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.