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Finding the Fourth Proportional to 11,978.13, 16,529.58 and 6,942.22

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Solution

The fourth proportional to 11,978.13, 16,529.58 and 6,942.22 is: 9,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.13 : 16,529.58 = 6,942.22 : x
  2. Step 2: Convert to fraction form
    11,978.13/16,529.58 = 6,942.22/x
  3. Step 3: Cross multiply
    11,978.13x = 16,529.58 × 6,942.22
  4. Step 4: Simplify right side
    11,978.13x = 114,751,980.87
  5. Step 5: Solve for x
    x = 114,751,980.87/11,978.13
  6. Step 6: Final answer
    x = 9,580.12

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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.