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Finding the Fourth Proportional to 12,983.22, 17,915.99 and 7,604.82

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Solution

The fourth proportional to 12,983.22, 17,915.99 and 7,604.82 is: 10,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.22 : 17,915.99 = 7,604.82 : x
  2. Step 2: Convert to fraction form
    12,983.22/17,915.99 = 7,604.82/x
  3. Step 3: Cross multiply
    12,983.22x = 17,915.99 × 7,604.82
  4. Step 4: Simplify right side
    12,983.22x = 136,247,841.05
  5. Step 5: Solve for x
    x = 136,247,841.05/12,983.22
  6. Step 6: Final answer
    x = 10,494.15

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1.5x scale

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.