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Finding the Fourth Proportional to 7,878.18, 11,759.62 and 6,944.05

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Solution

The fourth proportional to 7,878.18, 11,759.62 and 6,944.05 is: 10,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.18 : 11,759.62 = 6,944.05 : x
  2. Step 2: Convert to fraction form
    7,878.18/11,759.62 = 6,944.05/x
  3. Step 3: Cross multiply
    7,878.18x = 11,759.62 × 6,944.05
  4. Step 4: Simplify right side
    7,878.18x = 81,659,389.26
  5. Step 5: Solve for x
    x = 81,659,389.26/7,878.18
  6. Step 6: Final answer
    x = 10,365.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.