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Finding the Fourth Proportional to 19,709.88, 29,579.86 and 7,241.72

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Solution

The fourth proportional to 19,709.88, 29,579.86 and 7,241.72 is: 10,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.88 : 29,579.86 = 7,241.72 : x
  2. Step 2: Convert to fraction form
    19,709.88/29,579.86 = 7,241.72/x
  3. Step 3: Cross multiply
    19,709.88x = 29,579.86 × 7,241.72
  4. Step 4: Simplify right side
    19,709.88x = 214,209,063.76
  5. Step 5: Solve for x
    x = 214,209,063.76/19,709.88
  6. Step 6: Final answer
    x = 10,868.11

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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.