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Finding the Fourth Proportional to 11,421.44, 15,760.32 and 6,453.44

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Solution

The fourth proportional to 11,421.44, 15,760.32 and 6,453.44 is: 8,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.44 : 15,760.32 = 6,453.44 : x
  2. Step 2: Convert to fraction form
    11,421.44/15,760.32 = 6,453.44/x
  3. Step 3: Cross multiply
    11,421.44x = 15,760.32 × 6,453.44
  4. Step 4: Simplify right side
    11,421.44x = 101,708,279.50
  5. Step 5: Solve for x
    x = 101,708,279.50/11,421.44
  6. Step 6: Final answer
    x = 8,905.03

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1.5x scale

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.