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Finding the Fourth Proportional to 7,886.70, 11,830.05 and 7,832.03

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Solution

The fourth proportional to 7,886.70, 11,830.05 and 7,832.03 is: 11,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.70 : 11,830.05 = 7,832.03 : x
  2. Step 2: Convert to fraction form
    7,886.70/11,830.05 = 7,832.03/x
  3. Step 3: Cross multiply
    7,886.70x = 11,830.05 × 7,832.03
  4. Step 4: Simplify right side
    7,886.70x = 92,653,247.35
  5. Step 5: Solve for x
    x = 92,653,247.35/7,886.70
  6. Step 6: Final answer
    x = 11,748.04

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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.