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Finding the Fourth Proportional to 15,771, 23,655.84 and 3,924.80

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Solution

The fourth proportional to 15,771, 23,655.84 and 3,924.80 is: 5,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771 : 23,655.84 = 3,924.80 : x
  2. Step 2: Convert to fraction form
    15,771/23,655.84 = 3,924.80/x
  3. Step 3: Cross multiply
    15,771x = 23,655.84 × 3,924.80
  4. Step 4: Simplify right side
    15,771x = 92,844,440.83
  5. Step 5: Solve for x
    x = 92,844,440.83/15,771
  6. Step 6: Final answer
    x = 5,887.04

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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.