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Finding the Fourth Proportional to 16,228.50, 22,395.40 and 8,776.50

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Solution

The fourth proportional to 16,228.50, 22,395.40 and 8,776.50 is: 12,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.50 : 22,395.40 = 8,776.50 : x
  2. Step 2: Convert to fraction form
    16,228.50/22,395.40 = 8,776.50/x
  3. Step 3: Cross multiply
    16,228.50x = 22,395.40 × 8,776.50
  4. Step 4: Simplify right side
    16,228.50x = 196,553,206.16
  5. Step 5: Solve for x
    x = 196,553,206.16/16,228.50
  6. Step 6: Final answer
    x = 12,111.61

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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.