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Finding the Fourth Proportional to 21,706, 29,954.46 and 11,770

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Solution

The fourth proportional to 21,706, 29,954.46 and 11,770 is: 16,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 29,954.46 = 11,770 : x
  2. Step 2: Convert to fraction form
    21,706/29,954.46 = 11,770/x
  3. Step 3: Cross multiply
    21,706x = 29,954.46 × 11,770
  4. Step 4: Simplify right side
    21,706x = 352,563,994.20
  5. Step 5: Solve for x
    x = 352,563,994.20/21,706
  6. Step 6: Final answer
    x = 16,242.70

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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.