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Finding the Fourth Proportional to 20,907.36, 28,843.04 and 12,838.24

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Solution

The fourth proportional to 20,907.36, 28,843.04 and 12,838.24 is: 17,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.36 : 28,843.04 = 12,838.24 : x
  2. Step 2: Convert to fraction form
    20,907.36/28,843.04 = 12,838.24/x
  3. Step 3: Cross multiply
    20,907.36x = 28,843.04 × 12,838.24
  4. Step 4: Simplify right side
    20,907.36x = 370,293,869.85
  5. Step 5: Solve for x
    x = 370,293,869.85/20,907.36
  6. Step 6: Final answer
    x = 17,711.17

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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.