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Finding the Fourth Proportional to 8,472.24, 12,708.36 and 3,852

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Solution

The fourth proportional to 8,472.24, 12,708.36 and 3,852 is: 5,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.24 : 12,708.36 = 3,852 : x
  2. Step 2: Convert to fraction form
    8,472.24/12,708.36 = 3,852/x
  3. Step 3: Cross multiply
    8,472.24x = 12,708.36 × 3,852
  4. Step 4: Simplify right side
    8,472.24x = 48,952,602.72
  5. Step 5: Solve for x
    x = 48,952,602.72/8,472.24
  6. Step 6: Final answer
    x = 5,778

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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.