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Finding the Fourth Proportional to 7,855.56, 11,788.81 and 5,392.76

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Solution

The fourth proportional to 7,855.56, 11,788.81 and 5,392.76 is: 8,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.56 : 11,788.81 = 5,392.76 : x
  2. Step 2: Convert to fraction form
    7,855.56/11,788.81 = 5,392.76/x
  3. Step 3: Cross multiply
    7,855.56x = 11,788.81 × 5,392.76
  4. Step 4: Simplify right side
    7,855.56x = 63,574,150.59
  5. Step 5: Solve for x
    x = 63,574,150.59/7,855.56
  6. Step 6: Final answer
    x = 8,092.89

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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.