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Finding the Fourth Proportional to 14,066, 21,085.20 and 7,829

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Solution

The fourth proportional to 14,066, 21,085.20 and 7,829 is: 11,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066 : 21,085.20 = 7,829 : x
  2. Step 2: Convert to fraction form
    14,066/21,085.20 = 7,829/x
  3. Step 3: Cross multiply
    14,066x = 21,085.20 × 7,829
  4. Step 4: Simplify right side
    14,066x = 165,076,030.80
  5. Step 5: Solve for x
    x = 165,076,030.80/14,066
  6. Step 6: Final answer
    x = 11,735.82

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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.