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Finding the Fourth Proportional to 8,520.49, 12,786.96 and 4,829.93

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Solution

The fourth proportional to 8,520.49, 12,786.96 and 4,829.93 is: 7,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.49 : 12,786.96 = 4,829.93 : x
  2. Step 2: Convert to fraction form
    8,520.49/12,786.96 = 4,829.93/x
  3. Step 3: Cross multiply
    8,520.49x = 12,786.96 × 4,829.93
  4. Step 4: Simplify right side
    8,520.49x = 61,760,123.84
  5. Step 5: Solve for x
    x = 61,760,123.84/8,520.49
  6. Step 6: Final answer
    x = 7,248.42

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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.