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Finding the Fourth Proportional to 4,365, 6,546.78 and 1,443.34

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Solution

The fourth proportional to 4,365, 6,546.78 and 1,443.34 is: 2,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365 : 6,546.78 = 1,443.34 : x
  2. Step 2: Convert to fraction form
    4,365/6,546.78 = 1,443.34/x
  3. Step 3: Cross multiply
    4,365x = 6,546.78 × 1,443.34
  4. Step 4: Simplify right side
    4,365x = 9,449,229.45
  5. Step 5: Solve for x
    x = 9,449,229.45/4,365
  6. Step 6: Final answer
    x = 2,164.77

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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.