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Finding the Fourth Proportional to 11,214.30, 15,472 and 7,238.04

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Solution

The fourth proportional to 11,214.30, 15,472 and 7,238.04 is: 9,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.30 : 15,472 = 7,238.04 : x
  2. Step 2: Convert to fraction form
    11,214.30/15,472 = 7,238.04/x
  3. Step 3: Cross multiply
    11,214.30x = 15,472 × 7,238.04
  4. Step 4: Simplify right side
    11,214.30x = 111,986,954.88
  5. Step 5: Solve for x
    x = 111,986,954.88/11,214.30
  6. Step 6: Final answer
    x = 9,986.09

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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.