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Finding the Fourth Proportional to 9,305.36, 12,828.12 and 6,651.80

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Solution

The fourth proportional to 9,305.36, 12,828.12 and 6,651.80 is: 9,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.36 : 12,828.12 = 6,651.80 : x
  2. Step 2: Convert to fraction form
    9,305.36/12,828.12 = 6,651.80/x
  3. Step 3: Cross multiply
    9,305.36x = 12,828.12 × 6,651.80
  4. Step 4: Simplify right side
    9,305.36x = 85,330,088.62
  5. Step 5: Solve for x
    x = 85,330,088.62/9,305.36
  6. Step 6: Final answer
    x = 9,169.99

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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.