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Finding the Fourth Proportional to 9,122.51, 12,563.88 and 7,863.09

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Solution

The fourth proportional to 9,122.51, 12,563.88 and 7,863.09 is: 10,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.51 : 12,563.88 = 7,863.09 : x
  2. Step 2: Convert to fraction form
    9,122.51/12,563.88 = 7,863.09/x
  3. Step 3: Cross multiply
    9,122.51x = 12,563.88 × 7,863.09
  4. Step 4: Simplify right side
    9,122.51x = 98,790,919.19
  5. Step 5: Solve for x
    x = 98,790,919.19/9,122.51
  6. Step 6: Final answer
    x = 10,829.36

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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.