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Finding the Fourth Proportional to 8,252, 11,387.76 and 4,525.92

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Solution

The fourth proportional to 8,252, 11,387.76 and 4,525.92 is: 6,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252 : 11,387.76 = 4,525.92 : x
  2. Step 2: Convert to fraction form
    8,252/11,387.76 = 4,525.92/x
  3. Step 3: Cross multiply
    8,252x = 11,387.76 × 4,525.92
  4. Step 4: Simplify right side
    8,252x = 51,540,090.74
  5. Step 5: Solve for x
    x = 51,540,090.74/8,252
  6. Step 6: Final answer
    x = 6,245.77

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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.