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Finding the Fourth Proportional to 9,205.65, 13,824.27 and 8,790.12

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Solution

The fourth proportional to 9,205.65, 13,824.27 and 8,790.12 is: 13,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.65 : 13,824.27 = 8,790.12 : x
  2. Step 2: Convert to fraction form
    9,205.65/13,824.27 = 8,790.12/x
  3. Step 3: Cross multiply
    9,205.65x = 13,824.27 × 8,790.12
  4. Step 4: Simplify right side
    9,205.65x = 121,516,992.21
  5. Step 5: Solve for x
    x = 121,516,992.21/9,205.65
  6. Step 6: Final answer
    x = 13,200.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.