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Finding the Fourth Proportional to 29,211.84, 43,830.72 and 21,708

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Solution

The fourth proportional to 29,211.84, 43,830.72 and 21,708 is: 32,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211.84 : 43,830.72 = 21,708 : x
  2. Step 2: Convert to fraction form
    29,211.84/43,830.72 = 21,708/x
  3. Step 3: Cross multiply
    29,211.84x = 43,830.72 × 21,708
  4. Step 4: Simplify right side
    29,211.84x = 951,477,269.76
  5. Step 5: Solve for x
    x = 951,477,269.76/29,211.84
  6. Step 6: Final answer
    x = 32,571.63

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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.