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Finding the Fourth Proportional to 8,725, 13,089.42 and 3,253

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Solution

The fourth proportional to 8,725, 13,089.42 and 3,253 is: 4,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725 : 13,089.42 = 3,253 : x
  2. Step 2: Convert to fraction form
    8,725/13,089.42 = 3,253/x
  3. Step 3: Cross multiply
    8,725x = 13,089.42 × 3,253
  4. Step 4: Simplify right side
    8,725x = 42,579,883.26
  5. Step 5: Solve for x
    x = 42,579,883.26/8,725
  6. Step 6: Final answer
    x = 4,880.22

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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.