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Finding the Fourth Proportional to 12,515, 17,274.55 and 7,213.35

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Solution

The fourth proportional to 12,515, 17,274.55 and 7,213.35 is: 9,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515 : 17,274.55 = 7,213.35 : x
  2. Step 2: Convert to fraction form
    12,515/17,274.55 = 7,213.35/x
  3. Step 3: Cross multiply
    12,515x = 17,274.55 × 7,213.35
  4. Step 4: Simplify right side
    12,515x = 124,607,375.24
  5. Step 5: Solve for x
    x = 124,607,375.24/12,515
  6. Step 6: Final answer
    x = 9,956.64

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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.