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Finding the Fourth Proportional to 12,305.92, 16,990.32 and 7,597.12

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Solution

The fourth proportional to 12,305.92, 16,990.32 and 7,597.12 is: 10,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.92 : 16,990.32 = 7,597.12 : x
  2. Step 2: Convert to fraction form
    12,305.92/16,990.32 = 7,597.12/x
  3. Step 3: Cross multiply
    12,305.92x = 16,990.32 × 7,597.12
  4. Step 4: Simplify right side
    12,305.92x = 129,077,499.88
  5. Step 5: Solve for x
    x = 129,077,499.88/12,305.92
  6. Step 6: Final answer
    x = 10,489.06

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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.