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Finding the Fourth Proportional to 12,885.82, 17,782.48 and 7,511.44

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Solution

The fourth proportional to 12,885.82, 17,782.48 and 7,511.44 is: 10,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.82 : 17,782.48 = 7,511.44 : x
  2. Step 2: Convert to fraction form
    12,885.82/17,782.48 = 7,511.44/x
  3. Step 3: Cross multiply
    12,885.82x = 17,782.48 × 7,511.44
  4. Step 4: Simplify right side
    12,885.82x = 133,572,029.85
  5. Step 5: Solve for x
    x = 133,572,029.85/12,885.82
  6. Step 6: Final answer
    x = 10,365.82

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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.