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Finding the Fourth Proportional to 11,700.36, 16,144.29 and 6,921.09

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Solution

The fourth proportional to 11,700.36, 16,144.29 and 6,921.09 is: 9,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.36 : 16,144.29 = 6,921.09 : x
  2. Step 2: Convert to fraction form
    11,700.36/16,144.29 = 6,921.09/x
  3. Step 3: Cross multiply
    11,700.36x = 16,144.29 × 6,921.09
  4. Step 4: Simplify right side
    11,700.36x = 111,736,084.08
  5. Step 5: Solve for x
    x = 111,736,084.08/11,700.36
  6. Step 6: Final answer
    x = 9,549.80

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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.