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Finding the Fourth Proportional to 11,699.84, 16,136.48 and 8,838.11

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Solution

The fourth proportional to 11,699.84, 16,136.48 and 8,838.11 is: 12,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.84 : 16,136.48 = 8,838.11 : x
  2. Step 2: Convert to fraction form
    11,699.84/16,136.48 = 8,838.11/x
  3. Step 3: Cross multiply
    11,699.84x = 16,136.48 × 8,838.11
  4. Step 4: Simplify right side
    11,699.84x = 142,616,047.69
  5. Step 5: Solve for x
    x = 142,616,047.69/11,699.84
  6. Step 6: Final answer
    x = 12,189.58

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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.