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Finding the Fourth Proportional to 4,318, 6,473.56 and 1,720.24

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Solution

The fourth proportional to 4,318, 6,473.56 and 1,720.24 is: 2,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318 : 6,473.56 = 1,720.24 : x
  2. Step 2: Convert to fraction form
    4,318/6,473.56 = 1,720.24/x
  3. Step 3: Cross multiply
    4,318x = 6,473.56 × 1,720.24
  4. Step 4: Simplify right side
    4,318x = 11,136,076.85
  5. Step 5: Solve for x
    x = 11,136,076.85/4,318
  6. Step 6: Final answer
    x = 2,578.99

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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.