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Finding the Fourth Proportional to 9,455.32, 14,215.38 and 9,209.08

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Solution

The fourth proportional to 9,455.32, 14,215.38 and 9,209.08 is: 13,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.32 : 14,215.38 = 9,209.08 : x
  2. Step 2: Convert to fraction form
    9,455.32/14,215.38 = 9,209.08/x
  3. Step 3: Cross multiply
    9,455.32x = 14,215.38 × 9,209.08
  4. Step 4: Simplify right side
    9,455.32x = 130,910,571.65
  5. Step 5: Solve for x
    x = 130,910,571.65/9,455.32
  6. Step 6: Final answer
    x = 13,845.18

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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.