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Finding the Fourth Proportional to 12,005.70, 16,566.84 and 7,226.43

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Solution

The fourth proportional to 12,005.70, 16,566.84 and 7,226.43 is: 9,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.70 : 16,566.84 = 7,226.43 : x
  2. Step 2: Convert to fraction form
    12,005.70/16,566.84 = 7,226.43/x
  3. Step 3: Cross multiply
    12,005.70x = 16,566.84 × 7,226.43
  4. Step 4: Simplify right side
    12,005.70x = 119,719,109.58
  5. Step 5: Solve for x
    x = 119,719,109.58/12,005.70
  6. Step 6: Final answer
    x = 9,971.86

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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.