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Finding the Fourth Proportional to 7,858.03, 11,788.70 and 2,310.91

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Solution

The fourth proportional to 7,858.03, 11,788.70 and 2,310.91 is: 3,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.03 : 11,788.70 = 2,310.91 : x
  2. Step 2: Convert to fraction form
    7,858.03/11,788.70 = 2,310.91/x
  3. Step 3: Cross multiply
    7,858.03x = 11,788.70 × 2,310.91
  4. Step 4: Simplify right side
    7,858.03x = 27,242,601.89
  5. Step 5: Solve for x
    x = 27,242,601.89/7,858.03
  6. Step 6: Final answer
    x = 3,466.85

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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.