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Finding the Fourth Proportional to 10,380.48, 15,576.48 and 4,224

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Solution

The fourth proportional to 10,380.48, 15,576.48 and 4,224 is: 6,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.48 : 15,576.48 = 4,224 : x
  2. Step 2: Convert to fraction form
    10,380.48/15,576.48 = 4,224/x
  3. Step 3: Cross multiply
    10,380.48x = 15,576.48 × 4,224
  4. Step 4: Simplify right side
    10,380.48x = 65,795,051.52
  5. Step 5: Solve for x
    x = 65,795,051.52/10,380.48
  6. Step 6: Final answer
    x = 6,338.34

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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.