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Finding the Fourth Proportional to 8,542.49, 12,780.92 and 4,846.46

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Solution

The fourth proportional to 8,542.49, 12,780.92 and 4,846.46 is: 7,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.49 : 12,780.92 = 4,846.46 : x
  2. Step 2: Convert to fraction form
    8,542.49/12,780.92 = 4,846.46/x
  3. Step 3: Cross multiply
    8,542.49x = 12,780.92 × 4,846.46
  4. Step 4: Simplify right side
    8,542.49x = 61,942,165.75
  5. Step 5: Solve for x
    x = 61,942,165.75/8,542.49
  6. Step 6: Final answer
    x = 7,251.07

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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.