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Finding the Fourth Proportional to 8,724, 13,087.92 and 3,252

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Solution

The fourth proportional to 8,724, 13,087.92 and 3,252 is: 4,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 13,087.92 = 3,252 : x
  2. Step 2: Convert to fraction form
    8,724/13,087.92 = 3,252/x
  3. Step 3: Cross multiply
    8,724x = 13,087.92 × 3,252
  4. Step 4: Simplify right side
    8,724x = 42,561,915.84
  5. Step 5: Solve for x
    x = 42,561,915.84/8,724
  6. Step 6: Final answer
    x = 4,878.72

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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.