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Finding the Fourth Proportional to 34,548.88, 47,674.84 and 20,399

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Solution

The fourth proportional to 34,548.88, 47,674.84 and 20,399 is: 28,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,548.88 : 47,674.84 = 20,399 : x
  2. Step 2: Convert to fraction form
    34,548.88/47,674.84 = 20,399/x
  3. Step 3: Cross multiply
    34,548.88x = 47,674.84 × 20,399
  4. Step 4: Simplify right side
    34,548.88x = 972,519,061.16
  5. Step 5: Solve for x
    x = 972,519,061.16/34,548.88
  6. Step 6: Final answer
    x = 28,149.08

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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.