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Finding the Fourth Proportional to 12,191.52, 16,822.71 and 6,813.36

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Solution

The fourth proportional to 12,191.52, 16,822.71 and 6,813.36 is: 9,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.52 : 16,822.71 = 6,813.36 : x
  2. Step 2: Convert to fraction form
    12,191.52/16,822.71 = 6,813.36/x
  3. Step 3: Cross multiply
    12,191.52x = 16,822.71 × 6,813.36
  4. Step 4: Simplify right side
    12,191.52x = 114,619,179.41
  5. Step 5: Solve for x
    x = 114,619,179.41/12,191.52
  6. Step 6: Final answer
    x = 9,401.55

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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.