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Finding the Fourth Proportional to 11,857.61, 16,363.98 and 6,821.84

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Solution

The fourth proportional to 11,857.61, 16,363.98 and 6,821.84 is: 9,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.61 : 16,363.98 = 6,821.84 : x
  2. Step 2: Convert to fraction form
    11,857.61/16,363.98 = 6,821.84/x
  3. Step 3: Cross multiply
    11,857.61x = 16,363.98 × 6,821.84
  4. Step 4: Simplify right side
    11,857.61x = 111,632,494.23
  5. Step 5: Solve for x
    x = 111,632,494.23/11,857.61
  6. Step 6: Final answer
    x = 9,414.42

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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.