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Finding the Fourth Proportional to 9,382.99, 12,919.02 and 7,963.72

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Solution

The fourth proportional to 9,382.99, 12,919.02 and 7,963.72 is: 10,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.99 : 12,919.02 = 7,963.72 : x
  2. Step 2: Convert to fraction form
    9,382.99/12,919.02 = 7,963.72/x
  3. Step 3: Cross multiply
    9,382.99x = 12,919.02 × 7,963.72
  4. Step 4: Simplify right side
    9,382.99x = 102,883,418.19
  5. Step 5: Solve for x
    x = 102,883,418.19/9,382.99
  6. Step 6: Final answer
    x = 10,964.89

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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.