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Finding the Fourth Proportional to 11,991.53, 16,547.94 and 6,687.24

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Solution

The fourth proportional to 11,991.53, 16,547.94 and 6,687.24 is: 9,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.53 : 16,547.94 = 6,687.24 : x
  2. Step 2: Convert to fraction form
    11,991.53/16,547.94 = 6,687.24/x
  3. Step 3: Cross multiply
    11,991.53x = 16,547.94 × 6,687.24
  4. Step 4: Simplify right side
    11,991.53x = 110,660,046.29
  5. Step 5: Solve for x
    x = 110,660,046.29/11,991.53
  6. Step 6: Final answer
    x = 9,228.19

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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.