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Finding the Fourth Proportional to 12,114.32, 16,695.96 and 8,965.04

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Solution

The fourth proportional to 12,114.32, 16,695.96 and 8,965.04 is: 12,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.32 : 16,695.96 = 8,965.04 : x
  2. Step 2: Convert to fraction form
    12,114.32/16,695.96 = 8,965.04/x
  3. Step 3: Cross multiply
    12,114.32x = 16,695.96 × 8,965.04
  4. Step 4: Simplify right side
    12,114.32x = 149,679,949.24
  5. Step 5: Solve for x
    x = 149,679,949.24/12,114.32
  6. Step 6: Final answer
    x = 12,355.62

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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.