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Finding the Fourth Proportional to 12,963.80, 19,439.22 and 4,197.80

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Solution

The fourth proportional to 12,963.80, 19,439.22 and 4,197.80 is: 6,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.80 : 19,439.22 = 4,197.80 : x
  2. Step 2: Convert to fraction form
    12,963.80/19,439.22 = 4,197.80/x
  3. Step 3: Cross multiply
    12,963.80x = 19,439.22 × 4,197.80
  4. Step 4: Simplify right side
    12,963.80x = 81,601,957.72
  5. Step 5: Solve for x
    x = 81,601,957.72/12,963.80
  6. Step 6: Final answer
    x = 6,294.60

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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.