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Finding the Fourth Proportional to 12,782.61, 19,149.78 and 6,546.57

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Solution

The fourth proportional to 12,782.61, 19,149.78 and 6,546.57 is: 9,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.61 : 19,149.78 = 6,546.57 : x
  2. Step 2: Convert to fraction form
    12,782.61/19,149.78 = 6,546.57/x
  3. Step 3: Cross multiply
    12,782.61x = 19,149.78 × 6,546.57
  4. Step 4: Simplify right side
    12,782.61x = 125,365,375.25
  5. Step 5: Solve for x
    x = 125,365,375.25/12,782.61
  6. Step 6: Final answer
    x = 9,807.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.