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Finding the Fourth Proportional to 12,123.66, 16,723.14 and 8,340.30

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Solution

The fourth proportional to 12,123.66, 16,723.14 and 8,340.30 is: 11,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.66 : 16,723.14 = 8,340.30 : x
  2. Step 2: Convert to fraction form
    12,123.66/16,723.14 = 8,340.30/x
  3. Step 3: Cross multiply
    12,123.66x = 16,723.14 × 8,340.30
  4. Step 4: Simplify right side
    12,123.66x = 139,476,004.54
  5. Step 5: Solve for x
    x = 139,476,004.54/12,123.66
  6. Step 6: Final answer
    x = 11,504.45

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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.