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Finding the Fourth Proportional to 14,166.76, 21,223.48 and 8,305.96

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Solution

The fourth proportional to 14,166.76, 21,223.48 and 8,305.96 is: 12,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.76 : 21,223.48 = 8,305.96 : x
  2. Step 2: Convert to fraction form
    14,166.76/21,223.48 = 8,305.96/x
  3. Step 3: Cross multiply
    14,166.76x = 21,223.48 × 8,305.96
  4. Step 4: Simplify right side
    14,166.76x = 176,281,375.94
  5. Step 5: Solve for x
    x = 176,281,375.94/14,166.76
  6. Step 6: Final answer
    x = 12,443.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.