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Finding the Fourth Proportional to 13,249.62, 18,283.59 and 7,281

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Solution

The fourth proportional to 13,249.62, 18,283.59 and 7,281 is: 10,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.62 : 18,283.59 = 7,281 : x
  2. Step 2: Convert to fraction form
    13,249.62/18,283.59 = 7,281/x
  3. Step 3: Cross multiply
    13,249.62x = 18,283.59 × 7,281
  4. Step 4: Simplify right side
    13,249.62x = 133,122,818.79
  5. Step 5: Solve for x
    x = 133,122,818.79/13,249.62
  6. Step 6: Final answer
    x = 10,047.29

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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.