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Finding the Fourth Proportional to 4,443.34, 6,665 and 4,172.69

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Solution

The fourth proportional to 4,443.34, 6,665 and 4,172.69 is: 6,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443.34 : 6,665 = 4,172.69 : x
  2. Step 2: Convert to fraction form
    4,443.34/6,665 = 4,172.69/x
  3. Step 3: Cross multiply
    4,443.34x = 6,665 × 4,172.69
  4. Step 4: Simplify right side
    4,443.34x = 27,810,978.85
  5. Step 5: Solve for x
    x = 27,810,978.85/4,443.34
  6. Step 6: Final answer
    x = 6,259.03

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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.