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Finding the Fourth Proportional to 4,146.48, 6,219 and 1,372.88

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Solution

The fourth proportional to 4,146.48, 6,219 and 1,372.88 is: 2,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.48 : 6,219 = 1,372.88 : x
  2. Step 2: Convert to fraction form
    4,146.48/6,219 = 1,372.88/x
  3. Step 3: Cross multiply
    4,146.48x = 6,219 × 1,372.88
  4. Step 4: Simplify right side
    4,146.48x = 8,537,940.72
  5. Step 5: Solve for x
    x = 8,537,940.72/4,146.48
  6. Step 6: Final answer
    x = 2,059.08

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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.