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Finding the Fourth Proportional to 11,687.20, 16,128.20 and 7,209.16

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Solution

The fourth proportional to 11,687.20, 16,128.20 and 7,209.16 is: 9,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.20 : 16,128.20 = 7,209.16 : x
  2. Step 2: Convert to fraction form
    11,687.20/16,128.20 = 7,209.16/x
  3. Step 3: Cross multiply
    11,687.20x = 16,128.20 × 7,209.16
  4. Step 4: Simplify right side
    11,687.20x = 116,270,774.31
  5. Step 5: Solve for x
    x = 116,270,774.31/11,687.20
  6. Step 6: Final answer
    x = 9,948.56

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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.