Home / 11,412-15,748.91-6,376.44

Finding the Fourth Proportional to 11,412, 15,748.91 and 6,376.44

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Solution

The fourth proportional to 11,412, 15,748.91 and 6,376.44 is: 8,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 15,748.91 = 6,376.44 : x
  2. Step 2: Convert to fraction form
    11,412/15,748.91 = 6,376.44/x
  3. Step 3: Cross multiply
    11,412x = 15,748.91 × 6,376.44
  4. Step 4: Simplify right side
    11,412x = 100,421,947.80
  5. Step 5: Solve for x
    x = 100,421,947.80/11,412
  6. Step 6: Final answer
    x = 8,799.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.