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Finding the Fourth Proportional to 12,116.32, 16,728.80 and 8,930

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Solution

The fourth proportional to 12,116.32, 16,728.80 and 8,930 is: 12,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.32 : 16,728.80 = 8,930 : x
  2. Step 2: Convert to fraction form
    12,116.32/16,728.80 = 8,930/x
  3. Step 3: Cross multiply
    12,116.32x = 16,728.80 × 8,930
  4. Step 4: Simplify right side
    12,116.32x = 149,388,184
  5. Step 5: Solve for x
    x = 149,388,184/12,116.32
  6. Step 6: Final answer
    x = 12,329.50

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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.