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Finding the Fourth Proportional to 11,811.06, 16,284.06 and 9,678.78

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Solution

The fourth proportional to 11,811.06, 16,284.06 and 9,678.78 is: 13,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.06 : 16,284.06 = 9,678.78 : x
  2. Step 2: Convert to fraction form
    11,811.06/16,284.06 = 9,678.78/x
  3. Step 3: Cross multiply
    11,811.06x = 16,284.06 × 9,678.78
  4. Step 4: Simplify right side
    11,811.06x = 157,609,834.25
  5. Step 5: Solve for x
    x = 157,609,834.25/11,811.06
  6. Step 6: Final answer
    x = 13,344.26

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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.