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Finding the Fourth Proportional to 19,571.68, 29,283.96 and 11,645

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Solution

The fourth proportional to 19,571.68, 29,283.96 and 11,645 is: 17,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.68 : 29,283.96 = 11,645 : x
  2. Step 2: Convert to fraction form
    19,571.68/29,283.96 = 11,645/x
  3. Step 3: Cross multiply
    19,571.68x = 29,283.96 × 11,645
  4. Step 4: Simplify right side
    19,571.68x = 341,011,714.20
  5. Step 5: Solve for x
    x = 341,011,714.20/19,571.68
  6. Step 6: Final answer
    x = 17,423.73

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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.