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Finding the Fourth Proportional to 12,912, 17,815.82 and 7,604.88

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Solution

The fourth proportional to 12,912, 17,815.82 and 7,604.88 is: 10,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912 : 17,815.82 = 7,604.88 : x
  2. Step 2: Convert to fraction form
    12,912/17,815.82 = 7,604.88/x
  3. Step 3: Cross multiply
    12,912x = 17,815.82 × 7,604.88
  4. Step 4: Simplify right side
    12,912x = 135,487,135.18
  5. Step 5: Solve for x
    x = 135,487,135.18/12,912
  6. Step 6: Final answer
    x = 10,493.12

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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.