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Finding the Fourth Proportional to 6,147, 9,203.70 and 4,299.96

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Solution

The fourth proportional to 6,147, 9,203.70 and 4,299.96 is: 6,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147 : 9,203.70 = 4,299.96 : x
  2. Step 2: Convert to fraction form
    6,147/9,203.70 = 4,299.96/x
  3. Step 3: Cross multiply
    6,147x = 9,203.70 × 4,299.96
  4. Step 4: Simplify right side
    6,147x = 39,575,541.85
  5. Step 5: Solve for x
    x = 39,575,541.85/6,147
  6. Step 6: Final answer
    x = 6,438.19

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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.