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Finding the Fourth Proportional to 34,549.88, 47,676.22 and 20,400

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Solution

The fourth proportional to 34,549.88, 47,676.22 and 20,400 is: 28,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549.88 : 47,676.22 = 20,400 : x
  2. Step 2: Convert to fraction form
    34,549.88/47,676.22 = 20,400/x
  3. Step 3: Cross multiply
    34,549.88x = 47,676.22 × 20,400
  4. Step 4: Simplify right side
    34,549.88x = 972,594,888
  5. Step 5: Solve for x
    x = 972,594,888/34,549.88
  6. Step 6: Final answer
    x = 28,150.46

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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.