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Finding the Fourth Proportional to 7,857.78, 11,788.32 and 7,073.58

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Solution

The fourth proportional to 7,857.78, 11,788.32 and 7,073.58 is: 10,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.78 : 11,788.32 = 7,073.58 : x
  2. Step 2: Convert to fraction form
    7,857.78/11,788.32 = 7,073.58/x
  3. Step 3: Cross multiply
    7,857.78x = 11,788.32 × 7,073.58
  4. Step 4: Simplify right side
    7,857.78x = 83,385,624.59
  5. Step 5: Solve for x
    x = 83,385,624.59/7,857.78
  6. Step 6: Final answer
    x = 10,611.86

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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.