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Finding the Fourth Proportional to 16,228.28, 22,395 and 8,776.28

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Solution

The fourth proportional to 16,228.28, 22,395 and 8,776.28 is: 12,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.28 : 22,395 = 8,776.28 : x
  2. Step 2: Convert to fraction form
    16,228.28/22,395 = 8,776.28/x
  3. Step 3: Cross multiply
    16,228.28x = 22,395 × 8,776.28
  4. Step 4: Simplify right side
    16,228.28x = 196,544,790.60
  5. Step 5: Solve for x
    x = 196,544,790.60/16,228.28
  6. Step 6: Final answer
    x = 12,111.25

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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.