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Finding the Fourth Proportional to 11,814.80, 17,722.20 and 11,584.40

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Solution

The fourth proportional to 11,814.80, 17,722.20 and 11,584.40 is: 17,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.80 : 17,722.20 = 11,584.40 : x
  2. Step 2: Convert to fraction form
    11,814.80/17,722.20 = 11,584.40/x
  3. Step 3: Cross multiply
    11,814.80x = 17,722.20 × 11,584.40
  4. Step 4: Simplify right side
    11,814.80x = 205,301,053.68
  5. Step 5: Solve for x
    x = 205,301,053.68/11,814.80
  6. Step 6: Final answer
    x = 17,376.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.