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Finding the Fourth Proportional to 22,107.92, 30,511.08 and 16,509.20

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Solution

The fourth proportional to 22,107.92, 30,511.08 and 16,509.20 is: 22,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.92 : 30,511.08 = 16,509.20 : x
  2. Step 2: Convert to fraction form
    22,107.92/30,511.08 = 16,509.20/x
  3. Step 3: Cross multiply
    22,107.92x = 30,511.08 × 16,509.20
  4. Step 4: Simplify right side
    22,107.92x = 503,713,521.94
  5. Step 5: Solve for x
    x = 503,713,521.94/22,107.92
  6. Step 6: Final answer
    x = 22,784.30

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Double scale
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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.