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Finding the Fourth Proportional to 12,271.42, 16,936.32 and 6,965.11

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Solution

The fourth proportional to 12,271.42, 16,936.32 and 6,965.11 is: 9,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.42 : 16,936.32 = 6,965.11 : x
  2. Step 2: Convert to fraction form
    12,271.42/16,936.32 = 6,965.11/x
  3. Step 3: Cross multiply
    12,271.42x = 16,936.32 × 6,965.11
  4. Step 4: Simplify right side
    12,271.42x = 117,963,331.80
  5. Step 5: Solve for x
    x = 117,963,331.80/12,271.42
  6. Step 6: Final answer
    x = 9,612.85

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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.