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Finding the Fourth Proportional to 12,778.41, 17,634.07 and 7,035.82

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Solution

The fourth proportional to 12,778.41, 17,634.07 and 7,035.82 is: 9,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.41 : 17,634.07 = 7,035.82 : x
  2. Step 2: Convert to fraction form
    12,778.41/17,634.07 = 7,035.82/x
  3. Step 3: Cross multiply
    12,778.41x = 17,634.07 × 7,035.82
  4. Step 4: Simplify right side
    12,778.41x = 124,070,107.10
  5. Step 5: Solve for x
    x = 124,070,107.10/12,778.41
  6. Step 6: Final answer
    x = 9,709.35

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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.